If a network has a subnet mask of /22, how many hosts can it support?

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Question: If a network has a subnet mask of /22, how many hosts can it support?

Options:

Correct Answer: 2046

Solution:

A /22 subnet mask allows for 2^(32-22) = 1024 total addresses, minus 2 for network and broadcast addresses, resulting in 1022 usable hosts.

If a network has a subnet mask of /22, how many hosts can it support?

If a network has a subnet mask of /22, how many hosts can it support?

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: Recognize that a /22 subnet mask means that the first 22 bits of the IP address are used for the network part.
Step 3: Calculate the number of bits available for hosts. Since an IP address has 32 bits in total, subtract the 22 bits used for the network: 32 - 22 = 10 bits for hosts.
Step 4: Use the formula to find the total number of addresses. The formula is 2 raised to the number of host bits: 2^10 = 1024 total addresses.
Step 5: Understand that out of these total addresses, 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: 1024 - 2 = 1022 usable hosts.

Subnetting – Understanding how subnet masks determine the number of available IP addresses in a network.
Address Calculation – Calculating the total number of addresses and usable hosts based on the subnet mask.