Question

Difficulty: MediumIPv4 Addressing and Subnetting

A network engineer is assigned the IPv4 block 10.100.0.0/2110.100.0.0/21 to create subnetworks for regional offices. Each regional office network requires a /26/26 subnet mask. How many /26/26 subnetworks can be created from this 10.100.0.0/2110.100.0.0/21 block?

Answer: 32 subnets

Answer

32 subnets can be created from the 10.100.0.0/2110.100.0.0/21 block.
Subtracting the original prefix length (/21/21) from the new subnet prefix length (/26/26) yields 55 subnet bits (2621=526 - 21 = 5). Calculating 252^5 gives 3232 subnets available within the 10.100.0.0/2110.100.0.0/21 parent block.

Step-by-Step Solution

1
Determine the number of subnet bits borrowed by subtracting the initial block prefix length from the target subnet prefix length.
Borrowed bits = 2621=526 - 21 = 5 bits.
The difference between the new prefix length and the original prefix length represents the bits available to create subnets.
2
Calculate the total number of subnets using 2n2^n, where nn is the number of borrowed bits.
25=322^5 = 32 subnets.
Each additional bit assigned to the network prefix doubles the number of valid subnets.

Key Concept

Calculating Subnet Count from CIDR Prefix Differences
Estimated Time:1m 30s
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