Find the Subnet Mask for minimum 25 Host with Maximum Subnets

Subnetting Question 2

You are working with a network that has the network ID 192.168.10.0. What subnet should you use that supports up to 25 hosts and a maximum number of subnets?

1. 255.255.255.192
2. 255.255.255.224
3. 255.255.255.240
4. 255.255.255.248

Solution:

The Network ID is 192.168.10.0, this indicated it is a Class C Address

By default, in Class C Ip Address, 24 bits are reserved for the network and 8 bits are reserved for the host.

A/Q we have to find the maximum number of subnets with minimum 25 hosts on each.

Let’s find the host first,

The formula for finding the host is 2ⁿ  (where n indicates the number of host bits)

We required 5 host bits (2ⁿ = 2⁵) = 32

Now, let’s find the subnet mask

Hence, 5 bits are reserved for the host. There are 3 bits remaining for the network. Count the value of all the remaining three bits (2⁷ + 2⁶ + 2⁵ = 224)

Therefore, the new subnet mask you will get is 255.255.255.224.

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