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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