Calculation for Subnetting

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 Given 10.0.0.0/8  as the Network Prefix, and the IP requirements of the subnet are as follows:

VLSM

IP Address: 10.0.0.0/8

No. 

Subnet

Number of Hosts

1

FTMK

500

2

FKE

300

3

FKEKK

250

4

FKM

140

5

FKP

54

6

Post Graduate Centre

22

7

Canselory Office

10

8

Registrar Office

5

9

Library

4

10

Sport Centre

3



Figure 1: Diagram for Subnetting


  1. Largest Subnetwork - FTMK: 500 Hosts

Quantity of host: 2H - 2 ≈ 29 - 2 = 510(Usable Address) 

Therefore, we need 9 hosts bits. 

Subnet Mask = /23 (32-23 = 9)

So, the situation is 10.0.0000 000X . XXXX XXXX


Subnet 0: 10.0.0000 000X . XXXX XXXX

Subnet 1: 10.0.0000 001X . XXXX XXXX


So, the IP for subnet 1: 

For 500 Hosts:

10.0.0000 000X . XXXX XXXX

Then: 

Network Address: 10.0.0000 0000.0000 0000

IP Range: 10.0.0000 0000.0000 0001- 10.0.0000 0001.1111 1110

Broadcast Address: 10.0.0000 0001.1111 1111


Decimal Form: 

Network Address: 10.0.0.0

IP Range: 10.0.0.1  - 10.0.1.254

Broadcast Address: 10.0.1.255


  1. Second Largest Subnetwork FKE: 300 Hosts

Quantity of host: 2H - 2 ≈ 29 - 2 = 510(Usable Address)   

Therefor, we need 9 hosts bits. 

Subnet Mask = /23 (32-23 = 9)


Subnet 0: 10.0.0000 001X . XXXX XXXX

Subnet 1: 10.0.0000 010X . XXXX XXXX


So, the IP for subnet 2: 

For 300 Hosts:

10.0.0000 001X . XXXX XXXX

Then: 

Network Address: 10.0.0000 0010.0000 0000

IP Range: 10.0.0000 0010.0000 0001- 10.0.0000 0011.1111 1110

Broadcast Address: 10.0.0000 0011.1111 1111


Network Address: 10.0.2.0

IP Range: 10.0.2.1  - 10.0.3.254

Broadcast Address: 10.0.3.255


  1. Third Largest Subnetwork FKEKK: 250 Hosts

Quantity of host: 2H - 2 ≈ 28 - 2 = 254(Usable Address)  

Therefor, we need 9 hosts bits. 

Subnet Mask = /24 (32-24 = 8)


Subnet 0: 10.0.0000 0100 . XXXX XXXX

Subnet 1: 10.0.0000 0101 . XXXX XXXX


So, the IP for subnet 3: 

For 250 Hosts:

10.0.0000 0100 . XXXX XXXX

Then: 

Network Address: 10.0.0000 0100.0000 0000

IP Range: 10.0.0000 0100.0000 0001- 10.0.0000 0100.1111 1110

Broadcast Address: 10.0.0000 0100.1111 1111


Network Address: 10.0.4.0

IP Range: 10.0.4.1  - 10.0.4.254

Broadcast Address: 10.0.4.255


  1. Fourth Largest Subnetwork FKM: 124 Hosts

Quantity of host: 2H - 2 ≈ 27 - 2 = 126(Usable Address)  

Therefore, we need 7 hosts bits. 

Subnet Mask = /25 (32-25 = 7)


Subnet 0: 10.0.0000 0101 . 0XXX XXXX

Subnet 1: 10.0.0000 0101 . 1XXX XXXX


So, the IP for subnet 4: 

For 124 Hosts:

10.0.0000 0101 . 0XXX XXXX

Then: 

Network Address: 10.0.0000 0101.0000 0000

IP Range: 10.0.0000 0101.0000 0001- 10.0.0000 0101.0111 1110

Broadcast Address: 10.0.0000 0101.0111 1111

Network Address: 10.0.5.0

IP Range: 10.0.5.1  - 10.0.5.126

Broadcast Address: 10.0.5.127


  1. Fifth Largest Subnetwork FKP: 54 Hosts

Quantity of host: 2H - 2 ≈ 26 - 2 = 62(Usable Address) 

Therefor, we need 6 hosts bits. 

Subnet Mask = /26 (32-23 = 6)


Subnet 0: 10.0.0000 0101 . 10XX XXXX

Subnet 1: 10.0.0000 0101 . 11XX XXXX


So, the IP for subnet 5: 

For 54 Hosts:

10.0.0000 0101 . 10XX XXXX

Then: 

Network Address: 10.0.0000 0101.1000 0000

IP Range: 10.0.0000 0101.1000 0001- 10.0.0000 0101.1011 1110

Broadcast Address: 10.0.0000 0101.1011 1111


Network Address: 10.0.5.128

IP Range: 10.0.5.129 - 10.0.5.190

Broadcast Address: 10.0.5.191


  1. Sixth Largest Subnetwork Post Graduate Center: 22 Hosts

Quantity of host: 2H - 2 ≈ 25 - 2 = 30(Usable Address) 

Therefor, we need 5 hosts bits. 

Subnet Mask = /27 (32-27 = 5)


Subnet 0: 10.0.0000 0101 . 110X XXXX

Subnet 1:  10.0.0000 0101 . 111X XXXX


So, the IP for subnet 6: 

For 22 Hosts:

10.0.0000 0101 . 110X XXXX

Then: 

Network Address: 10.0.0000 0101.1100 0000

IP Range: 10.0.0000 0101.1100 0001- 10.0.0000 0101.1101 1110

Broadcast Address: 10.0.0000 0101.1101 1111


Network Address: 10.0.5.192

IP Range: 10.0.5.193 - 10.0.5.222

Broadcast Address: 10.0.5.223


  1. Seventh Largest Subnetwork Canselory Office: 10 Hosts

Quantity of host: 2H - 2 ≈ 24- 2 = 14(Usable Address) 

Therefore, we need 5 hosts bits. 

Subnet Mask = /28 (32-28 = 4)


Subnet 0: 10.0.0000 0101 . 1110 XXXX

Subnet 1: 10.0.0000 0101 . 1111 XXXX


So, the IP for subnet 7: 

For 10 Hosts:

10.0.0000 0101 . 1110 XXXX

Then: 

Network Address: 10.0.0000 0101.1110 0000

IP Range: 10.0.0000 0101.1110 0001- 10.0.0000 0101.1110 1110

Broadcast Address: 10.0.0000 0101.1110 1111


Network Address: 10.0.5.224

IP Range: 10.0.5.225 - 10.0.3.238

Broadcast Address: 10.0.5.239


  1. Eight Largest Subnetwork Registrar Office: 5 Hosts

Quantity of host: 2H - 2 ≈ 23- 2 = 6(Usable Address) 

Therefor, we need 4 hosts bits. 

Subnet Mask = /29 (32-29 = 3)


Subnet 0: 10.0.0000 0101 . 1111 0XXX

Subnet 1: 10.0.0000 0101 . 1111 1XXX


So, the IP for subnet 8: 

For 5 Hosts:

10.0.0000 0101 . 1111 0XXX

Then: 

Network Address: 10.0.0000 0101.1111 0000

IP Range: 10.0.0000 0101.1111 0001- 10.0.0000 0101.1111 0110

Broadcast Address: 10.0.0000 0101.1111 1011


Network Address: 10.0.5.240

IP Range: 10.0.5.241  - 10.0.5.246

Broadcast Address: 10.0.5.247


  1. Ninth Largest Subnetwork Library: 4 Hosts

Quantity of host: 2H - 2 ≈ 23 - 2 = 6(Usable Address) 

Therefor, we need 3 hosts bits. 

Subnet Mask = /29 (32-29 = 3)


Subnet 0: 10.0.0000 0101 . 1111 1XXX

Subnet 1: 10.0.0000 0110 . 0000 0XXX


So, the IP for subnet 9: 

For 4 Hosts:

10.0.0000 0101 . 1111 1XXX

Then: 

Network Address: 10.0.0000 0101.1111 1000

IP Range: 10.0.0000 0101.1111 1001- 10.0.0000 0101.1111 1110

Broadcast Address: 10.0.0000 0101.1111 1111


Network Address: 10.0.5.248

IP Range: 10.0.5.249  - 10.0.5.254

Broadcast Address: 10.0.5.255


  1. Tenth Largest Subnetwork Sports Center: 2 Hosts

Quantity of host: 2H - 2 ≈ 22 - 2 = 2(Usable Address) 

Therefore, we need 2 hosts bits. 

Subnet Mask = /30 (32-30 = 2)


Subnet 0: 10.0.0000 0110 . 0000 00XX

Subnet 1: 10.0.0000 0110 . 0000 01XX


So, the IP for subnet 10: 

For 2 Hosts:

10.0.0000 0110 . 0000 00XX

Then: 

Network Address: 10.0.0000 0110.0000 0000

IP Range: 10.0.0000 00110.0000 0001- 10.0.0000 0110.0000 0010

Broadcast Address: 10.0.0000 0110.0000 0011


Network Address: 10.0.6.0

IP Range: 10.0.6.1  - 10.0.6.2

Broadcast Address: 10.0.6.3


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