What is the maximum number of hosts that can be addressed in a subnet with a sub

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Question: What is the maximum number of hosts that can be addressed in a subnet with a subnet mask of 255.255.255.128?

Options:

Correct Answer: 126

Solution:

A subnet mask of 255.255.255.128 allows for 2^7 - 2 = 126 usable host addresses (subtracting 2 for network and broadcast addresses).

What is the maximum number of hosts that can be addressed in a subnet with a subnet mask of 255.255.255.128?

What is the maximum number of hosts that can be addressed in a subnet with a subnet mask of 255.255.255.128?

Step 1: Understand what a subnet mask is. A subnet mask helps to divide an IP address into a network part and a host part.
Step 2: Convert the subnet mask 255.255.255.128 into binary. It looks like this: 11111111.11111111.11111111.10000000.
Step 3: Count the number of '0's in the binary representation of the subnet mask. There are 7 '0's.
Step 4: Use the formula 2^n - 2, where n is the number of '0's. Here, n = 7.
Step 5: Calculate 2^7, which equals 128.
Step 6: Subtract 2 from 128 to account for the network and broadcast addresses. So, 128 - 2 = 126.
Step 7: Conclude that the maximum number of usable host addresses in this subnet is 126.

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