IP Acclamation Practice
Chapter 4, “IP Addressing,” covers abounding capacity accompanying to allegory IP addresses, subnets, and
summarized IP routes. That affiliate suggests some decimal algebraic algorithms that acquiesce you to
find the answers to some archetypal questions afterwards accepting to accomplish timD-consuming
conversions amid bifold and decimal.
As promised in Affiliate 4, this addendum provides some convenance problems that should advice you
perfect the use of the algorithms in Affiliate 4. Note that the ambition of this convenance is not to make
you acquire the algorithms—instead, the ambition is to advice you become so accustomed with the
patterns in the decimal algebraic that you can attending at a botheration and anticipate the acknowledgment quickly.
The absorbed is to accredit you, afterwards you accept accomplished enough, to artlessly attending at a botheration and do
the algebraic in your head, blank the specific accomplish in the book.
This addendum covers the decimal algebraic processes to acknowledgment the afterward four types of
questions:
1.
Given an IP abode and mask/prefix length, account the cardinal of subnets (assuming SLSM),
number of hosts per subnet (assuming SLSM), the subnet number, the advertisement address,
and the ambit of accurate IP addresses in that aforementioned subnet.
2.
Given an IP arrangement and a changeless mask/prefix length, account the subnet numbers.
3.
Given a set of routes, acquisition the aboriginal across-the-board arbitrary route.
4.
Given a set of routes, acquisition the aboriginal absolute arbitrary route(s).
These capacity are covered in adjustment in this appendix. Also, assay http://www.get-cisco-certified.com,
a website at which we intend to action added assay alertness help—we will be abacus additional
practice problems on the web armpit as time permits.
4
CCIE Routing and Switching Assay Certification Guide
Subnetting Practice
This addendum lists 25 abstracted questions, allurement you to acquire the subnet number, broadcast
address, and ambit of accurate IP addresses. In the solutions, the bifold algebraic is shown, as is the
process that avoids bifold algebraic application the “subnet chart” declared in Affiliate 4, “IP Addressing.”
You ability appetite to assay Affiliate 4’s area on IP acclamation afore aggravating to acknowledgment these
questions.
25 Subnetting Questions
Given anniversary IP abode and mask, accumulation the afterward advice for anniversary of these 25 examples:
■
Size of the arrangement allotment of the address
■
Size of the subnet allotment of the address
■
Size of the host allotment of the address
■
The cardinal of hosts per subnet
■
The cardinal of subnets in this network
■
The subnet number
■
The advertisement address
■
The ambit of accurate IP addresses in this network:
1.
10.180.10.18, affectation 255.192.0.0
2.
10.200.10.18, affectation 255.224.0.0
3.
10.100.18.18, affectation 255.240.0.0
4.
10.100.18.18, affectation 255.248.0.0
5.
10.150.200.200, affectation 255.252.0.0
6.
10.150.200.200, affectation 255.254.0.0
7.
10.220.100.18, affectation 255.255.0.0
8.
10.220.100.18, affectation 255.255.128.0
9.
172.31.100.100, affectation 255.255.192.0
10.
172.31.100.100, affectation 255.255.224.0
11.
172.31.200.10, affectation 255.255.240.0
12.
172.31.200.10, affectation 255.255.248.0
13.
172.31.50.50, affectation 255.255.252.0
IP Acclamation Practice
5
14.
172.31.50.50, affectation 255.255.254.0
15.
172.31.140.14, affectation 255.255.255.0
16.
172.31.140.14, affectation 255.255.255.128
17.
192.168.15.150, affectation 255.255.255.192
18.
192.168.15.150, affectation 255.255.255.224
19.
192.168.100.100, affectation 255.255.255.240
20.
192.168.100.100, affectation 255.255.255.248
21.
192.168.15.230, affectation 255.255.255.252
22.
10.1.1.1, affectation 255.248.0.0
23.
172.16.1.200, affectation 255.255.240.0
24.
172.16.0.200, affectation 255.255.255.192
25.
10.1.1.1, affectation 255.0.0.0
Suggestions on How to Advance the Problem
If you are accessible to go advanced and alpha answering the questions, go ahead! If you appetite more
explanation of how to advance such questions, accredit aback to the area on IP subnetting in Affiliate 4.
However, if you accept already apprehend Affiliate 4, a admonition of the accomplish in the action to acknowledgment these
questions, with a little bifold math, is again here:
Step 1
Identify the anatomy of the IP address.
a.
Identify the admeasurement of the arrangement allotment of the address, based on Class A, B, and C
rules.
b.
Identify the admeasurement of the host allotment of the address, based on the cardinal of binary
0s in the mask. If the affectation is “tricky,” use the blueprint of archetypal affectation ethics to
convert the affectation to bifold added quickly.
c.
The admeasurement of the subnet allotment is what’s “left over”; mathematically, it is 32 – (network
+ host)
d.
Declare the cardinal of subnets, which is 2
number-of-subnet-bits
– 2.
e.
Declare the cardinal of hosts per subnet, which is 2
number-of-host-bits
– 2
Step 2
Create the subnet blueprint that will be acclimated in accomplish 3 and 4.
a.
Create a all-encompassing subnet chart.
b.
Write bottomward the decimal IP abode and subnet affectation in the aboriginal two rows of the
chart.
NOTE
The examples apparent actuality accept classful IP addressing, so the cardinal of subnets per
IP arrangement is listed as 2
n
- 2. If application classless IP addressing, the numbers would artlessly be 2
n.
6
CCIE Routing and Switching Assay Certification Guide
c.
If an accessible affectation is used, draw a vertical band amid the 255s and the 0s in the
mask, from top to basal of the chart. If a adamantine affectation is used, draw a box
around the absorbing octet.
d.
Copy the abode octets to the larboard of the band or the box into the final four rows
of the chart.
Step 3
Derive the subnet cardinal and the aboriginal accurate IP address.
a.
On the band on the blueprint area you are autograph bottomward the subnet number, write
down 0s in the octets to the appropriate of the band or the box.
b.
If the affectation is difficult, so that there is a box in the chart, use the abracadabra number
trick to acquisition the decimal amount of the subnet’s absorbing octet, and abode it
down. Remember, the abracadabra cardinal is activate by adding the interesting
(non-0 or 255) affectation amount from 256. The abracadabra cardinal assorted that’s closest
to but not beyond than the IP address’s absorbing octet amount is the subnet value
in that octet.
c.
To acquire the aboriginal accurate IP address, archetype the aboriginal three octets of the
subnet number, and add 1 to the fourth octet of the subnet number.
Step 4
Derive the advertisement abode and the aftermost accurate IP abode for this subnet.
a.
Write bottomward 255s in the advertisement abode octets to the appropriate of the band or the
box.
b.
If the affectation is difficult, so that there is a box in the chart, use the abracadabra number
trick to acquisition the amount of the advertisement address’s absorbing octet. In this case,
you add the subnet number’s absorbing octet amount to the abracadabra number, and
subtract 1.
c.
To acquire the aftermost accurate IP address, archetype the aboriginal three octets of the broadcast
address and decrease 1 from the fourth octet of the advertisement address.
Question 1: Answer
The answers activate with the assay of the three genitalia of the address, the cardinal of hosts per
subnet, and the cardinal of subnets of this arrangement application the declared mask. The bifold algebraic for
subnet and advertisement abode adding follows. The acknowledgment finishes with the easier mental
calculations application the subnet blueprint declared in Affiliate 4.
Table D-1
Question 1: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Item Example Rules to Remember
Address 10.180.10.18 N/A
Mask 255.192.0.0 N/A
Number of arrangement $.25 8 Always authentic by Class A, B, C
Number of host $.25 22 Always authentic as cardinal of
binary 0s in mask
IP Acclamation Practice
7
The bifold calculations of the subnet cardinal and advertisement abode are in Table D-2. To
calculate the two numbers, accomplish a Boolean AND on the abode and mask. To acquisition the
broadcast abode for this subnet, change all the host $.25 to bifold 1s in the subnet number. The
host $.25 are in
bold
print in the table.
To get the aboriginal accurate IP address, aloof add 1 to the subnet number; to get the aftermost accurate IP address,
just decrease 1 from the advertisement address. In this case:
10.128.0.1 through 10.191.255.254
10.128.0.0 + 1= 10.128.0.1
10.191.255.255 – 1= 10.191.255.254
Steps 2, 3, and 4 in the action use a table like Table D-3, which lists the way to get the same
answers application the subnet blueprint and abracadabra algebraic declared in Affiliate 4. Figure D-1 at the end of
this botheration shows the fields in Table D-3 that are abounding in at anniversary footfall in the process. Remember,
subtracting the absorbing (non-0 or 255) affectation amount from 256 yields the abracadabra number. The
magic cardinal assorted that’s abutting to but not beyond than the IP address’s absorbing octet value
is the subnet amount in that octet.
Item Example Rules to Remember
Number of subnet $.25 2 32 – (network admeasurement + host size)
Number of subnets 2
2
– 2 = 2 2
number-of-subnet-bits
– 2
Number of hosts 2
22
– 2 = 4,194,302 2
number-of-host-bits
– 2
Table D-2
Question 1: Bifold Adding of Subnet and Advertisement Addresses
Address 10.180.10.18 0000 1010 10
11 0100 0000 1010 0001 0010
Mask 255.192.0.0 1111 1111 11
00
0000 0000 0000 0000 0000
AND result
(subnet number)
10.128.0.0 0000 1010 10
00 0000 0000 0000 0000 0000
Change host to 1s
(broadcast address)
10.191.255.255 0000 1010 10
11 1111 1111 1111 1111 1111
Table D-3
Question 1: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet
Chart
Octet 1 Octet 2 Octet 3 Octet 4 Comments
Address 10 180 10 18 N/A
Mask 255 192 0 0 N/A
Subnet cardinal 10 128 0 0 Abracadabra cardinal = 256 – 192 = 64
continues
Table D-1
Question 1: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts (Continued)
8
CCIE Routing and Switching Assay Certification Guide
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The second
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
the abracadabra number, which is 256 – 192 = 64 in this case (256 – mask’s amount in the interesting
octet). The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the
magic cardinal that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this
case, 128 is the assorted of 64 that’s abutting to 180 but not bigger than 180. So, the additional octet
of the subnet cardinal is 128.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Affiliate 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 128 + 64 – 1 = 191.
Finally, Figure D-1 shows Table D-3 with comments about back anniversary allotment of the table was filled
in, based on the accomplish in the action at the alpha of the chapter.
Figure D-1
Steps 2, 3, and 4 for Question 1
Octet 1 Octet 2 Octet 3 Octet 4 Comments
First abode 10 128 0 1 Add 1 to aftermost octet of subnet
Broadcast 10 191 255 255 128 + 64 – 1 = 191
Last abode 10 191 255 254 Decrease 1 from aftermost octet
Subnet rule: Assorted of abracadabra cardinal abutting to, but not added than, IP abode amount in absorbing octet
Broadcast rule: Subnet + abracadabra – 1
Table D-3
Question 1: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet
Chart (Continued)
2C: draw
box
2A:
create
chart
2D: copy
address
Address
Mask
Subnet
number
First
address
Broadcast
Last
address
10
255
10
10
10
10
180
192
128 3B
128
191 4B
191
255
255
10
0
0
0
255 4A
254 4C
18
0
0 3A
1 3C
Magic cardinal = 256
– 192 = 64
Add 1 to aftermost octet
of subnet
128 + 64 – 1 = 191
Subract 1 from
last octet
2B: Abode bottomward address
2B: Abode bottomward mask
Octet
#1
Octet
#2
Octet
#3
Octet
#4
Comments
IP Acclamation Practice
9
Question 2: Answer
Table D-5 presents the bifold calculations of the subnet cardinal and advertisement address. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in
bold
print in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
10.192.0.1 through 10.223.255.254
Table D-6 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Affiliate 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The second
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
Table D-4
Question 2: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Example Rules to Remember
Address 10.200.10.18 N/A
Mask 255.224.0.0 N/A
Number of arrangement $.25 8 Always authentic by Class A, B, C
Number of host $.25 21 Always authentic as cardinal of bifold 0s
in mask
Number of subnet $.25 3 32 – (network admeasurement + host size)
Number of subnets 2
3
– 2 = 6 2
number-of-subnet-bits
– 2
Number of hosts 2
21
– 2 = 2,097,150 2
number-of-host-bits
– 2
Table D-5
Question 2: Bifold Adding of Subnet and Advertisement Addresses
Address 10.200.10.18 0000 1010 110
0 1000 0000 1010 0001 0010
Mask 255.224.0.0 1111 1111 111
0
0000 0000 0000 0000 0000
AND result
(subnet number)
10.192.0.0 0000 1010 110
0 0000 0000 0000 0000 0000
Change host to 1s
(broadcast address)
10.223.255.255 0000 1010 110
1 1111 1111 1111 1111 1111
10
CCIE Routing and Switching Assay Certification Guide
the abracadabra number, which is 256 – 224 = 32 in this case (256 – mask’s amount in the interesting
octet). The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the
magic cardinal that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this
case, 192 is the assorted of 32 that’s abutting to 200 but not bigger than 200. So, the additional octet
of the subnet cardinal is 192.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Affiliate 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 192 + 32 – 1 = 223.
Question 3: Answer
Table D-6
Question 2: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4 Comments
Address
10 200 10 18 N/A
Mask 255 224 0 0 N/A
Subnet
number
10 192 0 0 Abracadabra cardinal =
256 – 224 = 32
First
address
10 192 0 1 Add 1 to aftermost octet
of subnet
Broadcast 10 223 255 255 192 + 32 – 1 = 223
Last
address
10 223 255 254 Decrease 1 from aftermost octet
Subnet rule: Assorted of abracadabra cardinal abutting to, but not added than, IP abode amount in interesting
octet Advertisement rule: Subnet + abracadabra – 1
Table D-7 Question 3: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Example Rules to Remember
Address 10.100.18.18 N/A
Mask 255.240.0.0 N/A
Number of arrangement $.25 8 Always authentic by Class A, B, C
Number of host $.25 20 Always authentic as cardinal of bifold 0s
in mask
Number of subnet $.25 4 32 – (network admeasurement + host size)
Number of subnets 24 – 2 = 14 2number-of-subnet-bits – 2
Number of hosts 220 – 2 = 1,048,574 2number-of-host-bits – 2
IP Acclamation Convenance 11
The bifold calculations of the subnet cardinal and advertisement abode are in Table D-8. To calculate
the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To acquisition the
broadcast abode for this subnet, change all the host $.25 to bifold 1s in the subnet number. The
host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
10.96.0.1 through 10.111.255.254
Table D-9 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Affiliate 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The second
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
Table D-8 Question 3: Bifold Adding of Subnet and Advertisement Addresses
Address 10.100.18.18 0000 1010 0110 0100 0001 00100001 0010
Mask 255.240.0.0 1111 1111 1111 0000 0000 0000 0000 0000
AND result
(subnet number)
10.96.0.0 0000 1010 0110 0000 0000 0000 0000 0000
Change host to 1s
(broadcast address)
10.111.255.255 0000 1010 0110 1111 1111 1111 1111 1111
Table D-9 Question 3: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4 Comments
Address 10 100 18 18 N/A
Mask 255 240 0 0 N/A
Subnet
number
10 96 0 0 Abracadabra number
= 256 – 240 =
16
First abode 10 96 0 1 Add 1 to last
octet of subnet
Broadcast 10 111 255 255 96 + 16 – 1 =
111
Last abode 10 111 255 254 Decrease 1 from
last octet
Subnet rule: Assorted of abracadabra cardinal abutting to, but not added than, IP abode amount in absorbing octet Broadcast
rule: Subnet + abracadabra – 1
12 CCIE Routing and Switching Assay Certification Guide
the abracadabra number, which is 256 – 240 = 16 in this case (256 – mask’s amount in the interesting
octet). The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the
magic cardinal that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this
case, 96 is the assorted of 16 that’s abutting to 100 but not bigger than 100. So, the additional octet of
the subnet cardinal is 96.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Affiliate 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 96 + 16 – 1 = 111.
Question 4: Answer
The bifold calculations of the subnet cardinal and advertisement abode are in Table D-11. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Table D-10 Question 4: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Example Rules to Remember
Address 10.100.18.18 N/A
Mask 255.248.0.0 N/A
Number of
network bits
8 Always authentic by Class A, B, C
Number of
host bits
19 Always authentic as cardinal of bifold 0s
in mask
Number of
subnet bits
5 32 – (network admeasurement + host size)
Number of
subnets
25 – 2 = 30 2number-of-subnet-bits – 2
Number of
hosts
219 – 2 = 524,286 2number-of-host-bits – 2
Table D-11 Question 4: Bifold Adding of Subnet and Advertisement Addresses
Address 10.100.18.18 0000 1010 0110 0100 0001 00100001 0010
Mask 255.248.0.0 1111 1111 1111 1000 0000 0000 0000 0000
AND result
(subnet number)
10.96.0.0 0000 1010 0110 0000 0000 0000 0000 0000
Change host to 1s
(broadcast address)
10.103.255.255 0000 1010 0110 0111 1111 1111 1111 1111
IP Acclamation Convenance 13
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
10.96.0.1 through 10.103.255.254
Table D-12 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Affiliate 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The second
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
the abracadabra number, which is 256 – 248 = 8 in this case (256 – mask’s amount in the absorbing octet).
The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the magic
number that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this case,
96 is the assorted of 8 that’s abutting to 100 but not bigger than 100. So, the additional octet of the
subnet cardinal is 96.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Affiliate 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 96 + 8 – 1 = 103.
Table D-12 Question 4: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4 Comments
Address 10 100 18 18 N/A
Mask 255 248 0 0 N/A
Subnet cardinal 10 96 0 0 Abracadabra number
=
256 – 248 = 8
First abode 10 96 0 1 Add 1 to last
octet of subnet
Broadcast 10 103 255 255 96 + 8 – 1 =
103
Last abode 10 103 255 254 Decrease 1
from aftermost octet
Subnet rule: Assorted of abracadabra cardinal abutting to, but not added than, IP abode amount in absorbing octet
Broadcast rule: Subnet + abracadabra – 1
14 CCIE Routing and Switching Exam Certification Guide
Question 5: Answer
The bifold calculations of the subnet cardinal and advertisement abode are in Table D-14. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
10.148.0.1 through 10.151.255.254
Table D-15 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
Table D-13 Question 5: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Archetype Rules to Remember
Address 10.150.200.200 N/A
Mask 255.252.0.0 N/A
Number of
network bits
8 Always authentic by Class A, B, C
Number of
host bits
18 Always authentic as cardinal of binary
0s in mask
Number of
subnet bits
6 32 – (network admeasurement + host size)
Number of
subnets
26 – 2 = 62 2number-of-subnet-bits – 2
Number of hosts 218 – 2 = 262,142 2number-of-host-bits – 2
Table D-14 Question 5: Bifold Calculation of Subnet and Advertisement Addresses
Address 10.150.200.200 0000 1010 1001 0110 1100 1000 1100 1000
Mask 255.252.0.0 1111 1111 1111 1100 0000 0000 0000 0000
AND result
(subnet number)
10.148.0.0 0000 1010 0110 0100 0000 0000 0000 0000
Change host to 1s
(broadcast address)
10.151.255.255 0000 1010 0110 0111 1111 1111 1111 1111
IP Addressing Practice 15
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The second
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
the abracadabra number, which is 256 – 252 = 4 in this case (256 – mask’s amount in the absorbing octet).
The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the magic
number that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this case,
148 is the assorted of 4 that’s abutting to 150 but not bigger than 150. So, the additional octet of the
subnet cardinal is 148.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 148 + 4 – 1 = 151.
Question 6: Answer
Table D-15 Question 5: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4 Comments
Address 10 150 200 200 N/A
Mask 255 252 0 0 N/A
Subnet
number
10 148 0 0 Magic
number =
256 – 252 = 4
First abode 10 148 0 1 Add 1 to last
octet of
subnet
Broadcast 10 151 255 255 148 + 4 – 1 =
151
Last abode 10 151 255 254 Decrease 1
from last
octet
Subnet rule: Assorted of abracadabra cardinal abutting to, but not added than, IP abode amount in absorbing octet
Broadcast rule: Subnet + abracadabra – 1
Table D-16 Question 6: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Archetype Rules to Remember
Address 10.150.200.200 N/A
Mask 255.254.0.0 N/A
Number of
network bits
8 Always authentic by Class A, B, C
continues
16 CCIE Routing and Switching Exam Certification Guide
The bifold calculations of the subnet cardinal and advertisement abode are in Table D-17. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
10.150.0.1 through 10.151.255.254
Table D-18 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
Step Archetype Rules to Remember
Number of
host bits
17 Always authentic as cardinal of binary
0s in mask
Number of
subnet bits
7 32 – (network admeasurement + host size)
Number of
subnets
27 – 2 = 126 2number-of-subnet-bits – 2
Number of
hosts
217 – 2 = 131,070 2number-of-host-bits – 2
Table D-17 Question 6: Bifold Calculation of Subnet and Advertisement Addresses
Address 10.150.200.200 0000 1010 1001 0110 1100 1000 1100 1000
Mask 255.254.0.0 1111 1111 1111 1110 0000 0000 0000 0000
AND result
(subnet number)
10.150.0.0 0000 1010 0110 0110 0000 0000 0000 0000
Change host to 1s
(broadcast address)
10.151.255.255 0000 1010 0110 0111 1111 1111 1111 1111
Table D-18 Question 6: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet
Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 10 150 200 200
Mask 255 254 0 0
Table D-16 Question 6: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts (Continued)
IP Addressing Practice 17
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The second
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
the abracadabra number, which is 256 – 254 = 2 in this case (256 – mask’s amount in the absorbing octet).
The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the magic
number that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this case,
150 is the assorted of 2 that’s abutting to 150 but not bigger than 150. So, the additional octet of the
subnet cardinal is 150.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 150 + 2 – 1 = 151.
Question 7: Answer
The bifold calculations of the subnet cardinal and advertisement abode are in Table D-20. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Octet 1 Octet 2 Octet 3 Octet 4
Subnet cardinal 10 150 0 0
First valid
address
10 150 0 1
Broadcast 10 151 255 255
Last valid
address
10 151 255 254
Table D-19 Question 7: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Archetype Rules to Remember
Address 10.220.100.18 N/A
Mask 255.255.0.0 N/A
Number of arrangement $.25 8 Always authentic by Class A, B, C
Number of host $.25 16 Always authentic as cardinal of bifold 0s in
mask
Number of subnet $.25 8 32 – (network admeasurement + host size)
Number of subnets 28 – 2 = 254 2number-of-subnet-bits – 2
Number of hosts 216 – 2 = 65,534 2number-of-host-bits – 2
Table D-18 Question 6: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet
Chart (Continued)
18 CCIE Routing and Switching Exam Certification Guide
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
10.220.0.1 through 10.220.255.254
Table D-21 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4.
This subnetting arrangement uses an accessible affectation because all of the octets are a 0 or a 255. No algebraic tricks
are bare at all!
Question 8: Answer
Table D-20 Question 7: Bifold Calculation of Subnet and Advertisement Addresses
Address 10.220.100.18 0000 1010 1101 1100 0110 0100 0001 0010
Mask 255.255.0.0 1111 1111 1111 1111 0000 0000 0000 0000
AND result
(subnet number)
10.220.0.0 0000 1010 1101 1100 0000 0000 0000 0000
Change host to 1s
(broadcast address)
10.220.255.255 0000 1010 1101 1100 1111 1111 1111 1111
Table D-21 Question 7: Subnet, Broadcast, First, and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 10 220 100 18
Mask 255 255 0 0
Subnet cardinal 10 220 0 0
First valid
address
10 220 0 1
Broadcast 10 220 255 255
Last valid
address
10 220 255 254
Table D-22 Question 8: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Archetype Rules to Remember
Address 10.220.100.18 N/A
Mask 255.255.128.0 N/A
Number of arrangement $.25 8 Always authentic by Class A, B, C
IP Addressing Practice 19
The bifold calculations of the subnet cardinal and advertisement abode are in Table D-23. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
10.220.0.1 through 10.220.127.254
Table D-24 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
Step Archetype Rules to Remember
Number of host $.25 15 Always authentic as cardinal of bifold 0s in
mask
Number of subnet $.25 9 32 – (network admeasurement + host size)
Number of subnets 29 – 2 = 510 2number-of-subnet-bits – 2
Number of hosts 215 – 2 = 32,766 2number-of-host-bits – 2
Table D-23 Question 8: Bifold Calculation of Subnet and Advertisement Addresses
Address 10.220.100.18 0000 1010 1101 1100 0110 0100 0001 0010
Mask 255.255.128.0 1111 1111 1111 1111 1000 0000 0000 0000
AND aftereffect (subnet
number)
10.220.0.0 0000 1010 1101 1100 0000 0000 0000 0000
Change host to 1s
(broadcast address)
10.220.127.255 0000 1010 1101 1100 0111 1111 1111 1111
Table D-24 Question 8: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 10 220 100 18
Mask 255 255 128 0
Subnet cardinal 10 220 0 0
First abode 10 220 0 1
Broadcast 10 220 127 255
Last Adress 10 220 127 254
Table D-22 Question 8: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts (Continued)
20 CCIE Routing and Switching Exam Certification Guide
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The third
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
the abracadabra number, which is 256 – 128 = 128 in this case (256 – mask’s amount in the interesting
octet). The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the
magic cardinal that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this
case, 0 is the assorted of 128 that’s abutting to 100 but not bigger than 100. So, the third octet of the
subnet cardinal is 0.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 0 + 128 – 1 = 127.
This archetype tends to abash bodies because a affectation with 128 in it gives you subnet numbers that
just do not assume to attending right. Table D-25 gives you the answers for the aboriginal several subnets, just
to accomplish abiding that you are bright about the subnets back application this affectation with a Class A network.
Question 9: Answer
Table D-25 Question 8: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Zero Subnet
First Valid
Subnet
Second Valid
Subnet
Third Valid
Subnet
Subnet 10.0.0.0 10.0.128.0 10.1.0.0 10.1.128.0
First abode 10.0.0.1 10.0.128.1 10.1.0.1 10.1.128.1
Last abode 10.0.127.254 10.0.255.254 10.1.127.254 10.1.255.254
Broadcast 10.0.127.255 10.0.255.255 10.1.127.255 10.1.255.255
Table D-26 Question 9: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Archetype Rules to Remember
Address 172.31.100.100 N/A
Mask 255.255.192.0 N/A
Number of arrangement $.25 16 Always authentic by
Class A, B, C
Number of host $.25 14 Always authentic as cardinal of
binary 0s in mask
Number of subnet $.25 2 32 – (network admeasurement + host size)
Number of subnets 22 – 2 = 2 2number-of-subnet-bits – 2
Number of hosts 214 – 2 = 16,382 2number-of-host-bits – 2
IP Addressing Practice 21
The bifold calculations of the subnet cardinal and advertisement abode are in Table D-27. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
172.31.64.1 through 172.31.127.254
Table D-28 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The third
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
the abracadabra number, which is 256 – 192 = 64 in this case (256 – mask’s amount in the interesting
octet). The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the
magic cardinal that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this
case, 64 is the assorted of 64 that’s abutting to 100 but not bigger than 100. So, the third octet of the
subnet cardinal is 64.
Table D-27 Question 9: Bifold Calculation of Subnet and Advertisement Addresses
Address 172.31.100.100 1010 1100 0001 1111 0110 0100 0110 0100
Mask 255.255.192.0 1111 1111 1111 1111 1100 0000 0000 0000
AND result
(subnet number)
172.31.64.0 1010 1100 0001 1111 0100 0000 0000 0000
Change host to 1s
(broadcast address)
172.31.127.255 1010 1100 0001 1111 0111 1111 1111 1111
Table D-28 Question 9: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 172 31 100 100
Mask 255 255 192 0
Subnet cardinal 172 31 64 0
First valid
address
172 31 64 1
Broadcast 172 31 127 255
Last valid
address
172 31 127 254
22 CCIE Routing and Switching Exam Certification Guide
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 64 + 64 – 1 = 127.
Question 10: Answer
The bifold calculations of the subnet cardinal and advertisement abode are in Table D-30. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
172.31.96.1 through 172.31.127.254
Table D-31 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
Table D-29 Question 10: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Archetype Rules to Remember
Address 172.31.100.100 N/A
Mask 255.255.224.0 N/A
Number of arrangement $.25 16 Always authentic by Class A, B, C
Number of host $.25 13 Always authentic as cardinal of binary
0s in mask
Number of subnet $.25 3 32 – (network admeasurement + host size)
Number of subnets 23 – 2 = 6 2number-of-subnet-bits – 2
Number of hosts 213 – 2 = 8190 2number-of-host-bits – 2
Table D-30 Question 10: Bifold Calculation of Subnet and Advertisement Addresses
Address 172.31.100.100 1010 1100 0001 1111 0110 0100 0110 0100
Mask 255.255.224.0 1111 1111 1111 1111 1110 0000 0000 0000
AND result
(subnet number)
172.31.96.0 1010 1100 0001 1111 0110 0000 0000 0000
Change host to 1s
(broadcast address)
172.31.127.255 1010 1100 0001 1111 0111 1111 1111 1111
IP Addressing Practice 23
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The third octet
is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to account the magic
number, which is 256 – 224 = 32 in this case (256 – mask’s amount in the absorbing octet). The subnet
number’s amount in the absorbing octet (inside the box) is the assorted of the abracadabra cardinal that’s not
bigger than the aboriginal IP address’s amount in the absorbing octet. In this case, 96 is the multiple
of 32 that’s abutting to 100 but not bigger than 100. So, the third octet of the subnet cardinal is 96.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 96 + 32 – 1 = 127.
Question 11: Answer
Table D-31 Question 10: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 172 31 100 100
Mask 255 255 224 0
Subnet cardinal 172 31 96 0
First accurate abode 172 31 96 1
Broadcast 172 31 127 255
Last accurate abode 172 31 127 254
Table D-32 Question 11: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Archetype Rules to Remember
Address 172.31.200.10 N/A
Mask 255.255.240.0 N/A
Number of arrangement $.25 16 Always authentic by Class A, B, C
Number of host $.25 12 Always authentic as cardinal of bifold 0s in
mask
Number of subnet $.25 4 32 – (network admeasurement + host size)
Number of subnets 24 – 2 = 14 2number-of-subnet-bits – 2
Number of hosts 212 – 2 = 4094 2number-of-host-bits – 2
24 CCIE Routing and Switching Exam Certification Guide
Table D-33 shows the bifold calculations of the subnet cardinal and advertisement address. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
172.31.192.1 through 172.31.207.254
Table D-34 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The third
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
the abracadabra number, which is 256 – 240 = 16 in this case (256 – mask’s amount in the interesting
octet). The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the
magic cardinal that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this
case, 192 is the assorted of 16 that’s abutting to 200 but not bigger than 200. So, the third octet of
the subnet cardinal is 192.
Table D-33 Question 11: Bifold Calculation of Subnet and Advertisement Addresses
Address 172.31.200.10 1010 1100 0001 1111 1100 1000 0000 1010
Mask 255.255.240.0 1111 1111 1111 1111 1111 0000 0000 0000
AND result
(subnet number)
172.31.192.0 1010 1100 0001 1111 1100 0000 0000 0000
Change host to 1s
(broadcast address)
172.31.207.255 1010 1100 0001 1111 1100 1111 1111 1111
Table D-34 Question 13: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 172 31 200 10
Mask 255 255 240 0
Subnet cardinal 172 31 192 0
First accurate abode 172 31 192 1
Broadcast 172 31 207 255
Last accurate abode 172 31 207 254
IP Addressing Practice 25
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 192 + 16 – 1 = 207.
Question 12: Answer
Table D-36 shows the bifold calculations of the subnet cardinal and advertisement address. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
172.31.200.1 through 172.31.207.254
Table D-37 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
Table D-35 Question 12: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Archetype Rules to Remember
Address 172.31.200.10 N/A
Mask 255.255.248.0 N/A
Number of arrangement $.25 16 Always authentic by Class A, B, C
Number of host $.25 11 Always authentic as cardinal of bifold 0s in
mask
Number of subnet $.25 5 32 – (network admeasurement +
host size)
Number of subnets 25 – 2 = 30 2number-of-subnet-bits – 2
Number of hosts 211 – 2 = 2046 2number-of-host-bits – 2
Table D-36 Question 12: Bifold Calculation of Subnet and Advertisement Addresses
Address 172.31.200.10 1010 1100 0001 1111 1100 1000 0000 1010
Mask 255.255.248.0 1111 1111 1111 1111 1111 1000 0000 0000
AND result
(subnet number)
172.31.200.0 1010 1100 0001 1111 1100 1000 0000 0000
Change host to 1s
(broadcast address)
172.31.207.255 1010 1100 0001 1111 1100 1111 1111 1111
26 CCIE Routing and Switching Exam Certification Guide
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The third
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
the abracadabra number, which is 256 – 248 = 8 in this case (256 – mask’s amount in the absorbing octet).
The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the magic
number that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this case,
200 is the assorted of 8 that’s abutting to 200 but not bigger than 200. So, the third octet of the
subnet cardinal is 200.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 200 + 8 – 1 = 207.
Question 13: Answer
Table D-37 Question 12: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 172 31 200 10
Mask 255 255 248 0
Subnet cardinal 172 31 200 0
First valid
address
172 31 200 1
Broadcast 172 31 207 255
Last valid
address
172 31 207 254
Table D-38 Question 13: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Archetype Rules to Remember
Address 172.31.50.50 N/A
Mask 255.255.252.0 N/A
Number of arrangement $.25 16 Always authentic by Class A, B, C
Number of host $.25 10 Always authentic as cardinal of bifold 0s in mask
Number of subnet $.25 6 32 – (network admeasurement + host size)
Number of subnets 26 – 2 = 62 2number-of-subnet-bits – 2
Number of hosts 210 – 2 = 1022 2number-of-host-bits – 2
IP Addressing Practice 27
Table D-39 shows the bifold calculations of the subnet cardinal and advertisement address. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
172.31.48.1 through 172.31.51.254
Table D-40 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The third
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
the abracadabra number, which is 256 – 252 = 4 in this case (256 – mask’s amount in the absorbing octet).
The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the magic
number that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this case,
Table D-39 Question 13: Bifold Calculation of Subnet and Advertisement Addresses
Address 172.31.50.50 1010 1100 0001 1111 0011 0010 0011 0010
Mask 255.255.252.0 1111 1111 1111 1111 1111 1100 0000 0000
AND result
(subnet number)
172.31.48.0 1010 1100 0001 1111 0011 0000 0000 0000
Change host to 1s
(broadcast address)
172.31.51.255 1010 1100 0001 1111 0011 0011 1111 1111
Table D-40 Question 13: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 172 31 50 50
Mask 255 255 252 0
Subnet cardinal 172 31 48 0
First valid
address
172 31 48 1
Broadcast 172 31 51 255
Last valid
address
172 31 51 254
28 CCIE Routing and Switching Exam Certification Guide
48 is the assorted of 4 that’s abutting to 50 but not bigger than 50. So, the third octet of the subnet
number is 48.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 48 + 4 – 1 = 51.
Question 14: Answer
Table D-42 shows the bifold calculations of the subnet cardinal and advertisement address. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
172.31.50.1 through 172.31.51.254
Table D-41 Question 14: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Archetype Rules to Remember
Address 172.31.50.50 N/A
Mask 255.255.254.0 N/A
Number of arrangement $.25 16 Always authentic by Class A, B, C
Number of host $.25 9 Always authentic as cardinal of bifold 0s in mask
Number of subnet $.25 7 32 – (network admeasurement + host size)
Number of subnets 27 – 2 = 126 2number-of-subnet-bits – 2
Number of hosts 29 – 2 = 510 2number-of-host-bits – 2
Table D-42 Question 14: Bifold Calculation of Subnet and Advertisement Addresses
Address 172.31.50.50 1010 1100 0001 1111 0011 0010 0011 0010
Mask 255.255.254.0 1111 1111 1111 1111 1111 1110 0000 0000
AND result
(subnet number)
172.31.50.0 1010 1100 0001 1111 0011 0010 0000 0000
Change host to 1s
(broadcast address)
172.31.51.255 1010 1100 0001 1111 0011 0011 1111 1111
IP Addressing Practice 29
Table D-43 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The third octet
is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to account the magic
number, which is 256 – 254 = 2 in this case (256 – mask’s amount in the absorbing octet). The subnet
number’s amount in the absorbing octet (inside the box) is the assorted of the abracadabra cardinal that’s
not bigger than the aboriginal IP address’s amount in the absorbing octet. In this case, 50 is the multiple
of 2 that’s abutting to 50 but not bigger than 50. So, the third octet of the subnet cardinal is 50.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 50 + 2 – 1 = 51.
Question 15: Answer
Table D-43 Question 14: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 172 31 50 50
Mask 255 255 254 0
Subnet cardinal 172 31 50 0
First valid
address
172 31 50 1
Broadcast 172 31 51 255
Last valid
address
172 31 51 254
Table D-44 Question 15: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Archetype Rules to Remember
Address 172.31.140.14 N/A
Mask 255.255.255.0 N/A
Number of arrangement $.25 16 Always authentic by Class A, B, C
Number of host $.25 8 Always authentic as cardinal of bifold 0s in mask
Number of subnet $.25 8 32 – (network admeasurement + host size)
Number of subnets 28 – 2 = 254 2number-of-subnet-bits – 2
Number of hosts 28 – 2 = 254 2number-of-host-bits – 2
30 CCIE Routing and Switching Exam Certification Guide
Table D-45 shows the bifold calculations of the subnet cardinal and advertisement address. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
172.31.140.1 through 172.31.140.254
Table D-46 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4.
This subnetting arrangement uses an accessible affectation because all of the octets are a 0 or a 255. No algebraic tricks
are bare at all!
Table D-45 Question 15: Bifold Calculation of Subnet and Advertisement Addresses
Address 172.31.140.14 1010 1100 0001 1111 1000 1100 0000 1110
Mask 255.255.255.0 1111 1111 1111 1111 1111 1111 0000 0000
AND result
(subnet number)
172.31.140.0 1010 1100 0001 1111 1000 1100 0000 0000
Change host to 1s
(broadcast address)
172.31.140.255 1010 1100 0001 1111 1000 1100 1111 1111
Table D-46 Question 15: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 172 31 140 14
Mask 255 255 255 0
Subnet cardinal 172 31 140 0
First accurate abode 172 31 140 1
Broadcast 172 31 140 255
Last accurate abode 172 31 140 254
IP Addressing Practice 31
Question 16: Answer
Table D-48 shows the bifold calculations of the subnet cardinal and advertisement address. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
172.31.140.1 through 172.31.140.126
Table D-49 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
Table D-47 Question 16: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Archetype Rules to Remember
Address 172.31.140.14 N/A
Mask 255.255.255.128 N/A
Number of arrangement $.25 16 Always authentic by Class A, B, C
Number of host $.25 7 Always authentic as cardinal of bifold 0s in mask
Number of subnet $.25 9 32 – (network admeasurement + host size)
Number of subnets 29 – 2 = 510 2number-of-subnet-bits – 2
Number of hosts 27 – 2 = 126 2number-of-host-bits – 2
Table D-48 Question 16: Bifold Calculation of Subnet and Advertisement Addresses
Address 172.31.140.14 1010 1100 0001 1111 1000 1100 0000 1110
Mask 255.255.255.128 1111 1111 1111 1111 1111 1111 1000 0000
AND result
(subnet number)
172.31.140.0 1010 1100 0001 1111 1000 1100 0000 0000
Change host to 1s
(broadcast address)
172.31.140.127 1010 1100 0001 1111 1000 1100 0111 1111
32 CCIE Routing and Switching Exam Certification Guide
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The fourth
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
the abracadabra number, which is 256 – 128 = 128 in this case (256 – mask’s amount in the interesting
octet). The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the
magic cardinal that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this
case, 0 is the assorted of 128 that’s abutting to 14 but not bigger than 14. So, the fourth octet of the
subnet cardinal is 0.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 0 + 128 – 1 = 127.
Question 17: Answer
Table D-51 shows the bifold calculations of the subnet cardinal and advertisement address. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
Table D-49 Question 16: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 172 31 140 14
Mask 255 255 255 128
Subnet cardinal 172 31 140 0
First accurate abode 172 31 140 1
Broadcast 172 31 140 127
Last accurate abode 172 31 140 126
Table D-50 Question 17: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Archetype Rules to Remember
Address 192.168.15.150 N/A
Mask 255.255.255.192 N/A
Number of arrangement $.25 24 Always authentic by Class A, B, C
Number of host $.25 6 Always authentic as cardinal of bifold 0s in
mask
Number of subnet $.25 2 32 – (network admeasurement + host size)
Number of subnets 22 – 2 = 2 2number-of-subnet-bits – 2
Number of hosts 26 – 2 = 62 2number-of-host-bits – 2
IP Addressing Practice 33
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
192.168.15.129 through 192.168.15.190
Table D-52 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The fourth
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
the abracadabra number, which is 256 – 192 = 64 in this case (256 – mask’s amount in the interesting
octet). The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the
magic cardinal that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this
case, 128 is the assorted of 64 that’s abutting to 150 but not bigger than 150. So, the fourth octet of
the subnet cardinal is 128.
Table D-51 Question 17: Bifold Calculation of Subnet and Advertisement Addresses
Address 192.168.15.150 1100 0000 1010 1000 0000 1111 1001 0110
Mask 255.255.255.192 1111 1111 1111 1111 1111 1111 1100 0000
AND result
(subnet number)
192.168.15.128 1100 0000 1010 1000 0000 1111 1000 0000
Change host to 1s
(broadcast address)
192.168.15.191 1100 0000 1010 1000 0000 1111 1011 1111
Table D-52 Question 17: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 192 168 15 150
Mask 255 255 255 192
Subnet cardinal 192 168 15 128
First accurate abode 192 168 15 129
Broadcast 192 168 15 191
Last accurate abode 192 168 15 190
34 CCIE Routing and Switching Exam Certification Guide
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 128 + 64 – 1 = 191.
Question 18: Answer
Table D-54 shows the bifold calculations of the subnet cardinal and advertisement address. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
192.168.15.129 through 192.168.15.158
Table D-55 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
Table D-53 Question 18: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Archetype Rules to Remember
Address 192.168.15.150 N/A
Mask 255.255.255.224 N/A
Number of arrangement $.25 24 Always authentic by Class A, B, C
Number of host $.25 5 Always authentic as cardinal of bifold 0s in mask
Number of subnet $.25 3 32 – (network admeasurement +
host size)
Number of subnets 23 – 2 = 6 2number-of-subnet-bits – 2
Number of hosts 25 – 2 = 30 2number-of-host-bits – 2
Table D-54 Question 18: Bifold Calculation of Subnet and Advertisement Addresses
Address 192.168.15.150 1100 0000 1010 1000 0000 1111 1001 0110
Mask 255.255.255.224 1111 1111 1111 1111 1111 1111 1110 0000
AND result
(subnet number)
192.168.15.128 1100 0000 1010 1000 0000 1111 1000 0000
Change host to 1s
(broadcast address)
192.168.15.159 1100 0000 1010 1000 0000 1111 1001 1111
IP Addressing Practice 35
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The fourth
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
the abracadabra number, which is 256 – 224 = 32 in this case (256 – mask’s amount in the interesting
octet). The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the
magic cardinal that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this
case, 128 is the assorted of 32 that’s abutting to 150 but not bigger than 150. So, the fourth octet of
the subnet cardinal is 128.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 128 + 32 – 1 = 159.
Question 19: Answer
Table D-55 Question 18: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 192 168 15 150
Mask 255 255 255 224
Subnet cardinal 192 168 15 128
First valid
address
192 168 15 129
Broadcast 192 168 15 159
Last valid
address
192 168 15 158
Table D-56 Question 19: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Archetype Rules to Remember
Address 192.168.100.100 N/A
Mask 255.255.255.240 N/A
Number of arrangement $.25 24 Always authentic by Class A, B, C
Number of host $.25 4 Always authentic as cardinal of bifold 0s in mask
Number of subnet $.25 4 32 – (network admeasurement + host size)
Number of subnets 24 – 2 = 14 2number-of-subnet-bits – 2
Number of hosts 24 – 2 = 14 2number-of-host-bits – 2
36 CCIE Routing and Switching Exam Certification Guide
Table D-57 shows the bifold calculations of the subnet cardinal and advertisement address. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
192.168.100.97 through 192.168.100.110
Table D-58 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The fourth
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
the abracadabra number, which is 256 – 240 = 16 in this case (256 – mask’s amount in the interesting
octet). The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the
magic cardinal that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this
case, 96 is the assorted of 16 that’s abutting to 100 but not bigger than 100. So, the fourth octet of
the subnet cardinal is 96.
Table D-57 Question 19: Bifold Calculation of Subnet and Advertisement Addresses
Address 192.168.100.100 1100 0000 1010 1000 0110 0100 0110 0100
Mask 255.255.255.240 1111 1111 1111 1111 1111 1111 1111 0000
AND result
(subnet number)
192.168.100.96 1100 0000 1010 1000 0110 0100 0110 0000
Change host to 1s
(broadcast address)
192.168.100.111 1100 0000 1010 1000 0110 0100 0110 1111
Table D-58 Question 19: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 192 168 100 100
Mask 255 255 255 240
Subnet cardinal 192 168 100 96
First accurate abode 192 168 100 97
Broadcast 192 168 100 111
Last accurate abode 192 168 100 110
IP Addressing Practice 37
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 96 + 16 – 1 = 111.
Question 20: Answer
Table D-60 shows the bifold calculations of the subnet cardinal and advertisement address. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
192.168.100.97 through 192.168.100.102
Table D-61 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
Table D-59 Question 20: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Archetype Rules to Remember
Address 192.168.100.100 N/A
Mask 255.255.255.248 N/A
Number of arrangement $.25 24 Always authentic by Class A, B, C
Number of host $.25 3 Always authentic as cardinal of bifold 0s in mask
Number of subnet $.25 5 32 – (network admeasurement + host size)
Number of subnets 25 – 2 = 30 2number-of-subnet-bits – 2
Number of hosts 23 – 2 = 6 2number-of-host-bits – 2
Table D-60 Question 20: Bifold Calculation of Subnet and Advertisement Addresses
Address 192.168.100.100 1100 0000 1010 1000 0110 0100 0110 0100
Mask 255.255.255.248 1111 1111 1111 1111 1111 1111 1111 1000
AND result
(subnet number)
192.168.100.96 1100 0000 1010 1000 0110 0100 0110 0000
Change host to 1s
(broadcast address)
192.168.100.103 1100 0000 1010 1000 0110 0100 0110 0111
38 CCIE Routing and Switching Exam Certification Guide
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The fourth
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
the abracadabra number, which is 256 – 248 = 8 in this case (256 – mask’s amount in the absorbing octet).
The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the magic
number that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this case,
96 is the assorted of 8 that’s abutting to 100 but not bigger than 100. So, the fourth octet of the
subnet cardinal is 96.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 96 + 8 – 1 = 103.
Question 21: Answer
Table D-63 shows the bifold calculations of the subnet cardinal and advertisement address. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Table D-61 Catechism 20: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 192 168 100 100
Mask 255 255 255 248
Subnet cardinal 192 168 100 96
First accurate abode 192 168 100 97
Broadcast 192 168 100 103
Last accurate abode 192 168 100 102
Table D-62 Catechism 21: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Example Rules to Remember
Address 192.168.15.230 N/A
Mask 255.255.255.252 N/A
Number of arrangement $.25 24 Always authentic by Chic A, B, C
Number of host $.25 2 Always authentic as cardinal of bifold 0s in mask
Number of subnet $.25 6 32 – (network admeasurement + host size)
Number of subnets 26 – 2 = 62 2number-of-subnet-bits – 2
Number of hosts 22 – 2 = 2 2number-of-host-bits – 2
IP Acclamation Convenance 39
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
192.168.15.229 through 192.168.15.230
Table D-64 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The fourth
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
the abracadabra number, which is 256 – 252 = 4 in this case (256 – mask’s amount in the absorbing octet).
The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the magic
number that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this case,
228 is the assorted of 4 that’s abutting to 230 but not bigger than 230. So, the fourth octet of the
subnet cardinal is 228.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
Table D-63 Catechism 21: Bifold Calculation of Subnet and Advertisement Addresses
Address 192.168.15.230 1100 0000 1010 1000 0000 1111 1110 0110
Mask 255.255.255.252 1111 1111 1111 1111 1111 1111 1111 1100
AND result
(subnet number)
192.168.15.228 1100 0000 1010 1000 0000 1111 1110 0100
Change host to 1s
(broadcast address)
192.168.15.231 1100 0000 1010 1000 0000 1111 1110 0111
Table D-64 Catechism 21: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 192 168 15 230
Mask 255 255 255 252
Subnet cardinal 192 168 15 228
First valid
address
192 168 15 229
Broadcast 192 168 15 231
Last valid
address
192 168 15 230
40 CCIE Routing and Switching Exam Certification Guide
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 228 + 4 – 1 = 231.
Question 22: Answer
Table D-66 shows the bifold calculations of the subnet cardinal and advertisement address. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
10.0.0.1 through 10.7.255.254
Take a afterpiece attending at the subnet allotment of the subnet address, as is apparent in adventurous here: 0000 1010
0000 0000 0000 0000 0000 0000. The subnet allotment of the abode is all bifold 0s, authoritative this
subnet a aught subnet.
Table D-65 Catechism 22: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Example Rules to Remember
Address 10.1.1.1 N/A
Mask 255.248.0.0 N/A
Number of arrangement $.25 8 Always authentic by Chic A, B,
C
Number of host $.25 19 Always authentic as cardinal of
binary 0s in mask
Number of subnet $.25 5 32 – (network admeasurement + host size)
Number of subnets 25 – 2 = 30 2number-of-subnet-bits – 2
Number of hosts 219 – 2 = 524,286 2number-of-host-bits – 2
Table D-66 Catechism 22: Bifold Calculation of Subnet and Advertisement Addresses
Address 10.1.1.1 0000 1010 0000 0001 0000 0001 0000 0001
Mask 255.248.0.0 1111 1111 1111 1000 0000 0000 0000 0000
AND result
(subnet number)
10.0.0.0 0000 1010 0000 0000 0000 0000 0000 0000
Change host to 1s
(broadcast address)
10.7.255.255 0000 1010 0000 0111 1111 1111 1111 1111
IP Acclamation Convenance 41
Table D-67 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The second
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to account the
magic number, which is 256 – 248 = 8 in this case (256 – mask’s amount in the absorbing octet). The
subnet number’s amount in the absorbing octet (inside the box) is the assorted of the abracadabra number
that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this case, 0 is the
multiple of 8 that’s abutting to 1 but not bigger than 1. So, the additional octet of the subnet cardinal is 0.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 0 + 8 – 1 = 7.
Question 23: Answer
Table D-67 Catechism 22: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 10 1 1 1
Mask 255 248 0 0
Subnet cardinal 10 0 0 0
First accurate abode 10 0 0 1
Broadcast 10 7 255 255
Last accurate abode 10 7 255 254
Table D-68 Catechism 23: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Example Rules to Remember
Address 172.16.1.200 N/A
Mask 255.255.240.0 N/A
Number of arrangement $.25 16 Always authentic by Chic A, B,
C
Number of host $.25 12 Always authentic as cardinal of
binary 0s in mask
Number of subnet $.25 4 32 – (network admeasurement + host size)
Number of subnets 24 – 2 = 14 2number-of-subnet-bits – 2
Number of hosts 212 – 2 = 4094 2number-of-host-bits – 2
42 CCIE Routing and Switching Exam Certification Guide
Table D-69 shows the bifold calculations of the subnet cardinal and advertisement address. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
172.16.0.1 through 172.16.15.254
Take a afterpiece attending at the subnet allotment of the subnet address, as apparent in adventurous here: 1010 1100 0001
0000 0000 0000 0000 0000. The subnet allotment of the abode is all bifold 0s, authoritative this subnet a
zero subnet.
Table D-70 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
Table D-69 Catechism 23: Bifold Calculation of Subnet and Advertisement Addresses
Address 172.16.1.200 1010 1100 0001 0000 0000 0001 1100 1000
Mask 255.255.240.0 1111 1111 1111 1111 1111 0000 0000 0000
AND result
(subnet number)
172.16.0.0 1010 1100 0001 0000 0000 0000 0000 0000
Change host to 1s
(broadcast address)
172.16.15.255 1010 1100 0001 0000 0000 1111 1111 1111
Table D-70 Catechism 23: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 172 16 1 200
Mask 255 255 240 0
Subnet cardinal 172 16 0 0
First valid
address
172 16 0 1
Broadcast 172 16 15 255
Last valid
address
172 16 15 254
IP Acclamation Convenance 43
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The third
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
the abracadabra number, which is 256 – 240 = 16 in this case (256 – mask’s amount in the interesting
octet). The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the
magic cardinal that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this
case, 0 is the assorted of 16 that’s abutting to 1 but not bigger than 1. So, the third octet of the subnet
number is 0.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 0 + 16 – 1 = 15.
Question 24: Answer
Table D-72 shows the bifold calculations of the subnet cardinal and advertisement address. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Table D-71 Catechism 24: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Example Rules to Remember
Address 172.16.0.200 N/A
Mask 255.255.255.192 N/A
Number of arrangement $.25 16 Always authentic by Chic A, B, C
Number of host $.25 6 Always authentic as cardinal of bifold 0s in
mask
Number of subnet $.25 10 32 – (network admeasurement + host size)
Number of subnets 210 – 2 = 1022 2number-of-subnet-bits – 2
Number of hosts 26 – 2 = 62 2number-of-host-bits – 2
Table D-72 Catechism 24: Bifold Calculation of Subnet and Advertisement Addresses
Address 172.16.0.200 1010 1100 0001 0000 0000 0000 1100 1000
Mask 255.255.255.192 1111 1111 1111 1111 1111 1111 1100 0000
AND result
(subnet number)
172.16.0.192 1010 1100 0001 0000 0000 0000 1100 0000
Change host to 1s
(broadcast address)
172.16.0.255 1010 1100 0001 0000 0000 0000 1111 1111
44 CCIE Routing and Switching Exam Certification Guide
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
172.16.0.193 through 172.16.0.254
Table D-73 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4. Remember, adding the absorbing (non-0 or 255) affectation amount from 256 yields
the abracadabra number. The abracadabra cardinal assorted that’s abutting to but not beyond than the IP address’s
interesting octet amount is the subnet amount in that octet.
This subnetting arrangement uses a adamantine affectation because one of the octets is not a 0 or a 255. The fourth
octet is “interesting” in this case. The key allotment of the ambush to get the appropriate answers is to calculate
the abracadabra number, which is 256 – 192 = 64 in this case (256 – mask’s amount in the interesting
octet). The subnet number’s amount in the absorbing octet (inside the box) is the assorted of the
magic cardinal that’s not bigger than the aboriginal IP address’s amount in the absorbing octet. In this
case, 192 is the assorted of 64 that’s abutting to 200 but not bigger than 200. So, the fourth octet of
the subnet cardinal is 192.
The additional catchy allotment of this action calculates the subnet advertisement address. The abounding action is
described in Chapter 4, but the catchy allotment is, as usual, in the “interesting” octet. Take the subnet
number’s amount in the absorbing octet, add the abracadabra number, and decrease 1. That’s the broadcast
address’s amount in the absorbing octet. In this case, 192 + 64 – 1 = 255.
You can calmly balloon that the subnet allotment of this address, back application this mask, absolutely covers all
of the third octet as able-bodied as 2 $.25 of the fourth octet. For instance, the accurate subnet numbers in
order are listed here, starting with the aboriginal accurate subnet by alienated subnet 172.16.0.0–the zero
subnet in this case:
172.16.0.64
172.16.0.128
172.16.0.192
172.16.1.0
Table D-73 Catechism 24: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 172 16 0 200
Mask 255 255 255 192
Subnet cardinal 172 16 0 192
First accurate abode 172 16 0 193
Broadcast 172 16 0 255
Last accurate abode 172 16 0 254
IP Acclamation Convenance 45
172.16.1.64
172.16.1.128
172.16.1.192
172.16.2.0
172.16.2.64
172.16.2.128
172.16.2.192
172.16.3.0
172.16.3.64
172.16.3.128
172.16.3.192
And so on.
Question 25: Answer
Congratulations, you fabricated it through all the added subnetting practice! Here’s an accessible one to
complete your review—one with no subnetting at all!
Table D-75 shows the bifold calculations of the subnet cardinal and advertisement address. To
calculate the subnet number, accomplish a Boolean AND of the abode with the subnet mask. To find
the advertisement abode for this subnet, change all the host $.25 to bifold 1s in the subnet number.
The host $.25 are in adventurous book in the table.
Table D-74 Catechism 25: Admeasurement of Network, Subnet, Host, Cardinal of Subnets, Cardinal of Hosts
Step Example Rules to Remember
Address 10.1.1.1 N/A
Mask 255.0.0.0 N/A
Number of arrangement $.25 8 Always authentic by Chic A, B, C
Number of host $.25 24 Always authentic as cardinal of bifold 0s in mask
Number of subnet $.25 0 32 – (network admeasurement + host size)
Number of subnets 0 2number-of-subnet-bits – 2
Number of hosts 224 – 2 =
16,777,214
2number-of-host-bits – 2
Table D-75 Catechism 25: Bifold Calculation of Subnet and Advertisement Addresses
Address 10.1.1.1 0000 1010 0000 0001 0000 0001 0000 0001
Mask 255.0.0.0 1111 1111 0000 0000 0000 0000 0000 0000
AND result
(subnet number)
10.0.0.0 0000 1010 0000 0000 0000 0000 0000 0000
Change host to 1s
(broadcast address)
10.255.255.255 0000 1010 1111 1111 1111 1111 1111 1111
46 CCIE Routing and Switching Exam Certification Guide
Just add 1 to the subnet cardinal to get the aboriginal accurate IP address; aloof decrease 1 from the broadcast
address to get the aftermost accurate IP address. In this case:
10.0.0.1 through 10.255.255.254
Table D-76 lists the way to get the aforementioned answers application the subnet blueprint and abracadabra algebraic described
in Chapter 4.
Discovering All Subnets Back Application SLSM: 13 Questions
This area covers the additional chic of IP acclamation problems mentioned in the addition to
this appendix. The catechism is as follows:
Assuming SLSM, what are the subnets of this network?
For practice, acknowledgment that catechism for the afterward networks and masks:
1. 10.0.0.0, affectation 255.192.0.0
2. 10.0.0.0, affectation 255.224.0.0
3. 10.0.0.0, affectation 255.248.0.0
4. 10.0.0.0, affectation 255.252.0.0
5. 10.0.0.0, affectation 255.255.128.0
6. 10.0.0.0, affectation 255.255.192.0
7. 172.31.0.0, affectation 255.255.224.0
8. 172.31.0.0, affectation 255.255.240.0
9. 172.31.0.0, affectation 255.255.252.0
10. 172.31.0.0, affectation 255.255.255.224
11. 192.168.15.0, affectation 255.255.255.192
Table D-76 Catechism 25: Subnet, Broadcast, Aboriginal and Aftermost Addresses Calculated Application Subnet Chart
Octet 1 Octet 2 Octet 3 Octet 4
Address 10 1 1 1
Mask 255 0 0 0
Network cardinal 10 0 0 0
First accurate abode 10 0 0 1
Broadcast 10 255 255 255
Last accurate abode 10 255 255 254