The address of class B host is to be split into subnets with 6‐bit subnet…

2021

The address of class B host is to be split into subnets with 6‐bit subnet number. What is the maximum number of the subnets and the maximum number of hosts in each subnet?

  1. A.

    62 subnets and 262142 hosts

  2. B.

    64 subnets and 1024 hosts

  3. C.

    64 subnets and hosts 262142

  4. D.

    62 subnets and 1022 hosts

Attempted by 292 students.

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Correct answer: D

Solution:

  • Start with Class B: default mask is /16, so there are 16 host bits.

  • Borrow 6 bits for the subnet number. Number of possible subnets = 2^6 = 64.

  • Remaining host bits = 16 - 6 = 10. Total addresses per subnet = 2^10 = 1024.

  • Usable hosts per subnet = total addresses minus network and broadcast = 1024 - 2 = 1022.

  • If following the historical restriction that disallowed subnet-zero and the all-ones subnet, subtract 2 from the subnet count: 64 - 2 = 62 usable subnets. If subnet-zero and all-ones are allowed (modern practice), you have all 64 subnets available.

Final answer: 62 subnets and 1022 hosts (using the older convention of excluding subnet-zero and all-ones). If subnet-zero and all-ones are allowed, the subnet count would be 64 and usable hosts per subnet remain 1022.

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