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

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Question: What is the maximum number of hosts that can be accommodated in a subnet with a subnet mask of 255.255.255.224?

Options:

  1. 30
  2. 32
  3. 62
  4. 62

Correct Answer: 30

Solution:

A subnet mask of 255.255.255.224 provides 32 IP addresses, of which 30 are usable for hosts after accounting for the network and broadcast addresses.

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

Practice Questions

Q1
What is the maximum number of hosts that can be accommodated in a subnet with a subnet mask of 255.255.255.224?
  1. 30
  2. 32
  3. 62
  4. 62

Questions & Step-by-Step Solutions

What is the maximum number of hosts that can be accommodated in a subnet with a subnet mask of 255.255.255.224?
  • Step 1: Understand what a subnet mask is. A subnet mask helps divide an IP address into a network part and a host part.
  • Step 2: Convert the subnet mask 255.255.255.224 into binary. It looks like this: 11111111.11111111.11111111.11111100.
  • Step 3: Count the number of '0's in the binary representation of the subnet mask. There are 5 '0's.
  • Step 4: Use the formula 2^n - 2 to find the number of usable IP addresses, where n is the number of '0's. Here, n = 5.
  • Step 5: Calculate 2^5, which equals 32. This is the total number of IP addresses in the subnet.
  • Step 6: Subtract 2 from 32 to account for the network address and the broadcast address. So, 32 - 2 = 30.
  • Step 7: Conclude that the maximum number of hosts that can be accommodated in this subnet is 30.
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