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In a network with a subnet mask of 255.255.255.128, how many hosts can be accomm

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Question: In a network with a subnet mask of 255.255.255.128, how many hosts can be accommodated?

Options:

  1. 126
  2. 128
  3. 254
  4. 256

Correct Answer: 126

Solution:

A subnet mask of 255.255.255.128 corresponds to /25, which allows for 2^(32-25) = 2^7 = 128 total addresses. Subtracting 2 for the network and broadcast addresses leaves 126 usable hosts.

In a network with a subnet mask of 255.255.255.128, how many hosts can be accomm

Practice Questions

Q1
In a network with a subnet mask of 255.255.255.128, how many hosts can be accommodated?
  1. 126
  2. 128
  3. 254
  4. 256

Questions & Step-by-Step Solutions

In a network with a subnet mask of 255.255.255.128, how many hosts can be accommodated?
  • Step 1: Understand that a subnet mask of 255.255.255.128 is used to divide a network into smaller parts.
  • Step 2: Convert the subnet mask to CIDR notation. 255.255.255.128 is the same as /25.
  • Step 3: Calculate the number of total addresses available. Use the formula 2^(32 - subnet bits). Here, it is 2^(32 - 25) = 2^7.
  • Step 4: Calculate 2^7, which equals 128. This means there are 128 total addresses in this subnet.
  • Step 5: Remember that in every subnet, 2 addresses are reserved: one for the network address and one for the broadcast address.
  • Step 6: Subtract the 2 reserved addresses from the total addresses: 128 - 2 = 126.
  • Step 7: Conclude that the number of usable hosts in this subnet is 126.
  • Subnetting – Understanding how subnet masks determine the number of available IP addresses in a network.
  • Address Calculation – Calculating total and usable addresses based on the subnet mask.
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