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Module 3: Network Layer & Routing

20257m

A block of addresses is granted to a small organization. One of the addresses is 205.16.37.39/28. Write the first address, last address and total number of addresses present in the block.

Worked SolutionAI Assisted

Given

Address: 205.16.37.39/28

  • Prefix length n=28n = 28, so host bits =32−28=4= 32 - 28 = 4
  • Subnet mask: 255.255.255.240
  • Block size =24=16= 2^4 = 16

Binary of the last octet

39=0010 011139 = 0010\,0111. The first 4 bits (0010) are network bits and the last 4 bits are host bits.

Last octet (binary) Address
Given 0010 0111 205.16.37.39
First address (host bits all 0) 0010 0000 205.16.37.32
Last address (host bits all 1) 0010 1111 205.16.37.47

Total number of addresses

232−28=24=162^{32-28} = 2^4 = \mathbf{16}

Answer

  • First address: 205.16.37.32/28
  • Last address: 205.16.37.47/28
  • Total addresses: 16 (usable hosts: 14, from .33 to .46)

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