Question

A network administrator is given the IP address block 172.16.0.0/22 and needs to create the maximum number of equal-sized subnets such that each subnet can accommodate exactly 62 usable host addresses. How many such subnets can be created from this block?

Q: Answer-A network administrator is given the IP address block 172.16.0.0/22 and needs to create the maximum...

A 22 block contains 232-22 1024 total addresses. To get 62 usable hosts per subnet, you need 2n - 2 62, which requires n 6 host bits, i.e., a 26 mask 64 addresses per subnet, 62 usable after reserving network and broadcast addresses. The number of 26 subnets that fit inside a 22 block is 226-22 24 16.