SUBNETING

SUBNETTING

- Subnetting Explained with Examples

This tutorial explains Subnetting in easy language with examples. This tutorial is divided in three sections. First section provides a basic overview of Subnetting tools. Second section explains Subnetting process in easy steps. Last section includes Subnetting examples for beginners.

Subnetting

Subnetting is a process of dividing large network into the smaller networks based on layer 3 IP address. Every computer in network has an IP address which represents its location in network. There are two versions of IP address; IPv4 and IPv6. This tutorial explains Subnetting in IPv4.

This tutorial is the second part of our article “Network Addressing Explained with Subnetting and VLSM”. You can read other parts of this article here.

Basic of Network Addressing

This tutorial is the first part of this article. It explains how computers find each other in network with basic terminology of network addressing.

VLSM Tutorial with Examples

This tutorial is the last part of this article. It explains VLSM in detail with examples including a unique six steps method of VLSM that will help you in learning VLSM rapidly.

IPv4

IP addresses are displayed in dotted decimal notation, and appear as four numbers separated by dots. Each number of an IP address is made from eight individual bits known as octet. Each octet can create number value from 0 to 255. An IP address would be 32 bits long in binary divided into the two components, network component and host component. Network component is used to identify the network that the packet is intend for, and host component is used to identify the individual host on network.

IP addresses are broken into the two components:

Network component :- Defines network segment of device.

Host component :- Defines the specific device on a particular network segment

IP Classes in decimal notation

Class A addresses range from 1-126

Class B addresses range from 128-191

Class C addresses range from 192-223

Class D addresses range from 224-239

Class E addresses range from 240-254

·         0 [Zero] is reserved and represents all IP addresses.

·         127 is a reserved address and is used for testing, like a loop back on an interface.

·         255 is a reserved address and is used for broadcasting purposes.

Subnet mask

Subnet mask is a 32 bits long address used to distinguish between network address and host address in IP address. Subnet mask is always used with IP address. Subnet mask has only one purpose, to identify which part of an IP address is network address and which part is host address.

For example how will we figure out network partition and host partition from IP address 192.168.1.10 ? Here we need subnet mask to get details about network address and host address.

·         In decimal notation subnet mask value 1 to 255 represent network address and value 0 [Zero] represent host address.

·         In binary notation subnet mask ON bit [ 1] represent network address while OFF bit[0] represent host address.

In decimal notation

IP address       192.168.1.10

Subnet mask      255.255.255.0

Network address is 192.168.1 and host address is 10.

In binary notation

IP address 11000000.10101000.00000001.00001010

Subnet mask 11111111.11111111.11111111.00000000

Network address is 11000000.10101000.00000001 and host address is 00001010

IP Class	Default Subnet	Network bits	Host bits	Total hosts	Valid hosts
A	255.0.0.0	First 8 bits	Last 24 bits	16, 777, 216	16, 777, 214
B	255.255.0.0	First 16 bits	Last 16 bits	65,536	65,534
C	255.255.255.0	First 24 bits	Last 8 bits	256	254

Network ID

First address of subnet is called network ID. This address is used to identify one segment or broadcast domain from all the other segments in the network.

Block Size

Block size is the size of subnet including network address, hosts addresses and broadcast address.

Broadcast ID

There are two types of broadcast, direct broadcast and full broadcast.

Direct broadcast or local broadcast is the last address of subnet and can be hear by all hosts in subnet.

Full broadcast is the last address of IP classes and can be hear by all IP hosts in network. Full broadcast address is 255.255.255.255

The main difference between direct broadcast and full broadcast is that routers will not propagate local broadcasts between segments, but they will propagate directed broadcasts.

Host Addresses

All address between the network address and the directed broadcast address is called host address for the subnet. You can assign host addresses to any IP devices such as PCs, servers, routers, and switches.

Subnetting

Subnetting is a process of breaking large network in small networks known as subnets. Subnetting happens when we extend default boundary of subnet mask. Basically we borrow host bits to create networks. Let's take a example

Being a network administrator you are asked to create two networks, each will host 30 systems.

Single class C IP range can fulfill this requirement, still you have to purchase 2 class C IP range, one for each network. Single class C range provides 256 total addresses and we need only 30 addresses, this will waste 226 addresses. These unused addresses would make additional route advertisements slowing down the network.

With subnetting you only need to purchase single range of class C. You can configure router to take first 26 bits instead of default 24 bits as network bits. In this case we would extend default boundary of subnet mask and borrow 2 host bits to create networks. By taking two bits from the host range and counting them as network bits, we can create two new subnets, and assign hosts them. As long as the two new network bits match in the address, they belong to the same network. You can change either of the two bits, and you would be in a new subnet.

Advantage of Subnetting

·         Subnetting breaks large network in smaller networks and smaller networks are easier to manage.

·         Subnetting reduces network traffic by removing collision and broadcast traffic, that overall improve performance.

·         Subnetting allows you to apply network security polices at the interconnection between subnets.

·         Subnetting allows you to save money by reducing requirement for IP range.

Subnetting math

Subnetting process involves binary math calculation. Computers communicate with each other's in binary language. To succeed in any kind of networking career, you might be fluent in binary math calculation. Subnetting needs two type of calculation, convert decimal to binary and convert binary to decimal.

Base position	27	26	25	24	23	22	21	20
Decimal value	128	64	32	16	8	4	2	1

Binary system works exactly same as decimal system, except the base number. Base number is 2 in binary system and 10 in decimal system. To calculate decimal equivalent value of a binary number, you have to replace base value 10 with 2. Binary numbers are displayed in columns and each position in binary system has double value than the position in right. From earlier section of this article you know that each number of an IP address is made from eight individual bits known as octet. So you should remember at least eight decimal equivalent value from binary position.

Convert decimal to binary

To convert a decimal number in binary we would use addition till number method. In this method we start adding from left to get target value. If after adding right position value, sum is lower than target number, keep adding, or if sum is greater than target number skip the position value. Only the value of on bit [1] will be added in sum. Off bit [0] has zero value. For example, convert decimal number 117 in binary.

Target decimal number 117

Move direction From Left ===========================> to Right

Base position	27	26	25	24	23	22	21	20
Decimal value	128	64	32	16	8	4	2	1
Bit status	0	1	1	1	0	1	0	1
Decimal value in addition	0	64	32	16	0	4	0	1

Binary value of 117 is 01110101.

Decimal calculation	Bit in binary
128 is greater than 117	off the bit
0+64 = 64 is less than 117	on the bit
0+64+32 = 96 is less than 117	on the bit
0+64+32+16 = 112 is less than 117	on the bit
0+64+32+16+8 = 120 is greater than 117	off the bit
0+64+32+16+0+4 = 116 is less than 117	on the bit
0+64+32+16+0+4+2 = 118 is greater than 117	off the bit
0+64+32+16+0+4+0+1 = 117 is equivalent to 117	on the bit

Convert binary in decimal

To convert a binary in decimal we will follow above method in reverse mode. We will find the decimal value of on binary bit position and add them. For example convert 10101010 binary number in decimal.

Target binary number 10101010

Move direction From Left ===========================> to Right

Base position	27	26	25	24	23	22	21	20
Decimal value	128	64	32	16	8	4	2	1
Bit status	1	0	1	0	1	0	1	0
Decimal value in addition	128	0	32	0	8	0	2	0

Decimal value of 10101010 is 170 [ 128+0+32+0+8+0+2+0 ]

Binary bit	Decimal value
1 On bit	128
0 Off bit	0
1 On bit	64
0 Off bit	0
1 On bit	32
0 Off bit	0
1 On bit	8
0 Off bit	0
1 On bit	2
0 Off bit	0

Review above method and do as much practice of following as you can.

·         Pick any number from 0 - 255 and convert it in binary.

·         Pick any combination from 00000000 - 11111111 and convert it in decimal.

Better you are with this conversion, the better you will do on the subnetting.

Combination provided by binary position

Now you know the process of converting binary in decimal and decimal in binary. Our next step is to figure out the combination provided by a binary position.

First bit provide two combination 0 or 1. If we take two bits than we have four combinations 00,01,10,11. IP address has 32 bits, so you should be able to find the number of combinations provided by each bit position until position number 32.

Number of bit[s]	Number of combinations	Number of bits	Number of combinations
1	2	17	131072
2	4	18	262144
3	8	19	524288
4	16	20	1048576
5	32	21	2097152
6	64	22	4194304
7	128	23	8388608
8	256	24	16777216
9	512	25	33554432
10	1024	26	67108864
11	2048	27	134217728
12	4096	28	268435456
13	8192	29	536870912
14	16384	30	1073741824
15	32768	31	2147483648
16	65536	32	4294967296

Default subnet mask

Class	Subnet Mask	Format
A	255.0.0.0	Network.Host.Host.Host
B	255.255.0.0	Network.Network.Host.Host
C	255.255.255.0	Network.Network.Network.Host

Key terms to remembers

·         A subnet is a smaller portion of large network treated as its own separate network. To create subnet we borrow bits from host portion and assign them as network bits. This mean more networks, fewer hosts.

·         If the network bits on two addresses do not match, then the two packets are intended for two separate networks.

·         On a 32 bits IP address at least eight bits must belong to the network portion and at least 2 bits must belong to the host portion.

·         Each IP address has a predefined IP class and that cannot be changed.

·         Each class has a predefined default subnet mask that tell us the octets, which are already part of the network portion, as well as how many bits we have available to work with.

·         Whatever network class is it, we cannot change those bits that are already assigned.

·         We cannot assign the network ID and the broadcast address to a host.

·         Regardless how many bits are left in the host field, network ID and the broadcast address must be reserved.

·         Subnet bits start at the left and go to the right, without skipping bits.

CIDR [ Classless Inter Domain Routing]

CIDR is a slash notation of subnet mask. CIDR tells us number of on bits in a network address.

·         Class A has default subnet mask 255.0.0.0. that means first octet of the subnet mask has all on bits. In slash notation it would be written as /8, means address has 8 bits on.

·         Class B has default subnet mask 255.255.0.0. that means first two octets of the subnet mask have all on bits. In slash notation it would be written as /16, means address has 16 bits on.

·         Class C has default subnet mask 255.255.255.0. that means first three octets of the subnet mask have all on bits. In slash notation it would be written as /24, means address has 24 bits on.

Method of subnetting

In subnetting we find the answer of following questions.

·         What is subnet mask for given address?

·         How many subnets does given subnet mask provide ?

·         What is block size for given subnet mask?

·         What are the valid subnets?

·         What are the total hosts?

·         How many valid hosts are available per subnet?

·         What is broadcast address of each subnet?

·         What is network address of each subnet?

To answer above questions we use following method of subnetting.

What is subnet mask for given address?

Subnetting take places when we extend the default subnet mask. We cannot perform subnetting with default subnet mask and every classes have default subnet mask. To figure out subnetted subnet mask ,we first need to write down the default subnet mask. Now find the host bits borrowed to create subnets and convert them in decimal. For example find the subnet mask of address 188.25.45.48/20 ? This address belong to class B and class B has default subnet mask 255.255.0.0[ /16 in CIDR ]. We borrowed 4 bits from hosts portion. As you know subnetting move from left to right and it cannot skip any network bit. So this subnet mask in binary would be 11111111. 11111111.11110000.00000000. First two octet have default value so its decimal value would be 255.255. We will convert third octet in decimal value. To convert a binary number in decimal we add its decimal equivalent value. In our example it would be 128+64+32+16+0+0+0+0 = 240. Our fourth octet has all bits off so its decimal value would be 0+0+0+0+0+0+0+0 =0. Our answer subnet mask would be 255.255.240.0

How many subnets does given subnet mask provide ?

To calculate the number of subnets provided by given subnet mask we use 2^N , where N = number of bits borrowed from host bits to create subnets. For example in 192.168.1.0/27, N is 3. By looking at address we can determined that this address is belong to class C and class C has default subnet mask 255.255.255.0 [/24 in CIDR]. In given address we borrowed 27 - 24 = 3 host bits to create subnets. Now 2³ = 8, so our answer is 8.

What is block size for subnet mask?

Block size or increment number is used to calculate the valid subnets. Once you figure out the block size, calculation of valid subnets become piece of cake. To figure out the block size, use this formula 256 - Subnet mask = block size. For example block size for subnet mask 255.255.255.240 is 256 - 240 = 16.

What are the valid subnets?

Calculating valid subnet is two steps process. First calculate total subnet by using formula 2^N. In second step find the block size and count from zero in block until you reach the subnet mask value. For example calculate the valid subnets for 192.168.1.0/26.

Borrowed host bits are 2 [26-24].
Total subnets are 2

² = 4.Subnet mask would be 255.255.255.192.
Block size would be 256-192 = 64.
Start counting from zero at blocks of 64, so our valid subnets would be 0,64,128,192.

What are the total hosts?

Total hosts are the hosts available per subnet. To calculate total hosts  use formula 2^H = Total hosts. H is the number of host bits. For example in address 192.168.1.0/26 we have 32 - 26 [Total bits in IP address - Bits consumed by network address] = 6. Total hosts per subnet would be 2⁶ = 64.

How many valid hosts are available per subnet?

Valid hosts are the number of hosts those can be assigned to devices. As we know, we need to reduce two address per subnet, one for network ID and another for broadcast ID. So our formula, to calculate valid hosts would be Total hosts - 2 = Valid hosts. In above example we have 64 hosts per subnet, so valid hosts in each subnet would be 64 - 2 = 62.

What is broadcast address of each subnet?

Broadcast address is the last address of subnet. This address is reserve for network broadcast, and cannot be assigned to any host. In above example

0 Subnet has broadcast address 63
64 Subnet has broadcast address 127
128 Subnet has broadcast address 191
192 Subnet has broadcast address 255

What is the network address of each subnet?

Network address is the first address of subnet. This address is used to locate the network, and cannot be assigned to any host. In above example address 0,64,128,192 are the network address.

·         Network address is always the first IP address of subnet.

·         Broadcast address is always the last IP address of subnet ( IP address before the next subnet).

·         Valid hosts are the IP addresses between network address and broadcast address.

At this point you have powered with all essential tools for subnetting. In last section of this article we will practically implement what we have learn so far. Due to length of this article I will include examples only from class C.

Class C Subnetting

Default subnet mask of class C is 255.255.255.0. CIDR notation of class C is /24, which means 24 bits from IP address are already consumed by network portion and we have 8 host bits to work with. We cannot skip network bit, when we turned them on. Subnetting moves from left to right. So Class C subnet masks can only be the following:

CIDR	Decimal	Binary
/25	128	10000000
/26	192	11000000
/27	224	11100000
/28	240	11110000
/29	248	11111000
/30	252	11111100

As we have already discussed earlier in this article that we have to have at least 2 host bits for assigning IP addresses to hosts, that means we can't use /31 and /32 for subnetting.

/25

CIDR /25 has subnet mask 255.255.255.128 and 128 is 10000000 in binary. We used one host bit in network address.

N = 1 [Number of host bit used in network]
H = 7 [Remaining host bits]
Total subnets ( 2

^N ) :- 2¹ = 2Block size (256 - subnet mask) :- 256 - 128 = 128
Valid subnets ( Count blocks from 0) :- 0,128
Total hosts (2
^H) :- 2⁷ = 128Valid hosts per subnet ( Total host - 2 ) :- 128 - 2 = 126

Subnets	Subnet 1	Subnet 2
Network ID	0	128
First host	1	129
Last host	126	254
Broadcast ID	127	255

/26

CIDR /26 has subnet mask 255.255.255.192 and 192 is 11000000 in binary. We used two host bits in network address.

N = 2
H = 6
Total subnets ( 2

^N ) :- 2² = 4Block size (256 - subnet mask) :- 256 - 192 = 64
Valid subnets ( Count blocks from 0) :- 0,64,128,192
Total hosts (2
^H) :- 2⁶ = 64Valid hosts per subnet ( Total host - 2 ) :- 64 - 2 = 62

Subnets	Subnet 1	Subnet 2	Subnet 3	Subnet 4
Network ID	0	64	128	192
First host	1	65	129	193
Last host	62	126	190	254
Broadcast ID	63	127	191	255

/27

CIDR /27 has subnet mask 255.255.255.224 and 224 is 11100000 in binary. We used three host bits in network address.

N = 3
H = 5
Total subnets ( 2

^N ) :- 2³ = 8Block size (256 - subnet mask) :- 256 - 224 = 32
Valid subnets ( Count blocks from 0) :- 0, 32, 64, 96, 128, 160, 192, 224
Total hosts (2
^H) :- 2⁵ = 32Valid hosts per subnet ( Total host - 2 ) :- 32 - 2 = 30

Subnets	Sub 1	Sub 2	Sub 3	Sub 4	Sub 5	Sub 6	Sub 7	Sub 8
Network ID	0	32	64	96	128	160	192	224
First host	1	33	65	97	129	161	193	225
Last host	30	62	94	126	158	190	222	254
Broadcast ID	31	63	95	127	159	191	223	255

Sub = Subnet

/28

CIDR /28 has subnet mask 255.255.255.240 and 240 is 11110000 in binary. We used four host bits in network address.

N = 4
H = 4
Total subnets ( 2

^N ) :- 2⁴ = 16Block size (256 - subnet mask) :- 256 - 240 = 16
Valid subnets ( Count blocks from 0) :-0, 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240
Total hosts (2
^H) :- 2⁴ = 16Valid hosts per subnet ( Total host - 2 ) :- 16 - 2 = 14

I hope you have understand the pattern of making the subnet chart with above information's. Let's join me in this practice. For this example and next two examples I will fill only two subnets [first and last one], it's your turn to fill the middle subnets.

Subnets	Subnet 1	Subnet 2 To Subnet 15(Filled by you)	Subnet 16
Network ID	0	........................................	240
First host	1	........................................	241
Last host	14	........................................	254
Broadcast ID	15	......................................	255

/29

CIDR /29 has subnet mask 255.255.255.248 and 248 is 11111000 in binary. We used five host bits in network address.

N = 5
H = 3
Total subnets ( 2

^N ) :- 2⁵ = 32Block size (256 - subnet mask) :- 256 - 248 = 8
Valid subnets ( Count blocks from 0) :-
0, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248
Total hosts (2
^H) :- 2³ = 8Valid hosts per subnet ( Total host - 2 ) :- 8 - 2 = 6

Subnets	Subnet 1	Subnet 2 To Subnet 31(Filled by you)	Subnet 32
Network ID	0	..........................................	248
First host	1	..........................................	249
Last host	6	..........................................	254
Broadcast ID	7	.........................................	255

/30

CIDR /30 has subnet mask 255.255.255.252 and 252 is 11111100 in binary. We used six host bits in network address.

N = 6
H = 2
Total subnets ( 2

^N ) :- 2⁶ = 64Block size (256 - subnet mask) :- 256 - 252 = 4
Valid subnets ( Count blocks from 0) :-
0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200, 204, 208, 212, 216, 220, 224, 228, 232, 236, 240,2 44, 248, 252
Total hosts (2
^H) :- 2² = 4Valid hosts per subnet ( Total host - 2 ) :- 4 - 2 = 2

Subnets	Subnet 1	Subnet 2 To Subnet 63 (Filled by you)	Subnet 64
Network ID	0	..........................................	252
First host	1	..........................................	253
Last host	2	..........................................	254
Broadcast ID	3	.........................................	255

At the end of this long article I have a small word for you, that is practice. Believe me in exam you are going to face many questions related to subnetting. More practice will make you more comfortable in exam.

By NIYONGABO Olivier

Tel: +250722833804

E-mail: niyolivier90@gmail.com