Subnetting Questions 22 | Calculate Subnet Mask from IP Address

Subnetting Questions 22

What subnet mask would you use for the 172.31.0.0 network, such that you can get 40 subnets and 840 hosts per subnet?

Solution

Hence, the IP Address starts from 172 it indicates it is a Class B Address. By default, in Class B Address 16 bits are reserved for the network and 16 bits are reserved for the host.

A/Q we need 40 Subnets with minimum 840 host on each.

Therefore, we have to borrow 6 bits from the third octet 2⁶ = 64 Subnets

11111111 . 11111111 . 11111100 . 00000000

(2⁷ + 2⁶ + 2⁵ + 2⁴ + 2³ + 2² + 2¹ + 2⁰) . (2⁷ + 2⁶ + 2⁵ + 2⁴ + 2³ + 2² + 2¹ + 2⁰) . (2⁷ + 2⁶ + 2⁵ + 2⁴ + 2³ + 2²) . 0

So, the subnet mask is 255.255.252.0

Additional Information

Let’s count the number of host on each network

2ⁿ – 2 (n is the number of host bits, subsctrated 2 because on every network 1 bit is reserved for the Network ID and 1 bit is reserved for the broadcast ID)

= 2¹⁰ – 2

= 1024 – 2

= 1022 host is available on each network

Class B Subnetting Tutorial

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