Given IP address 10.10.0.0/16, you have to divide the network into eight equal subnets. Find the subnet mask in dotted decimal and CIDR notation…

Given IP address 10.10.0.0/16, you have to divide the network into eight equal subnets. Find the subnet mask in dotted decimal and CIDR notation. Also find the first and last usable IP addresses of the third subnet.

From the DPDC Assistant Manager (ICT) June 2025 – Written (BUET) exam, question 3 of 8.

Answers (1)

Step 1: Bits to borrow

To get 8 subnets, we need 2ⁿ ≥ 8, so n = 3 bits are borrowed from the host portion.

New prefix = /16 + 3 = /19

Step 2: Subnet mask

The 3 borrowed bits fall in the third octet: 11100000 = 224

  • Dotted decimal: 255.255.224.0
  • CIDR: /19

Step 3: Block size and subnets

Block size = 256 − 224 = 32, so the third octet increases by 32 for each subnet. Each subnet has 13 host bits, giving

2¹³ − 2 = 8,190 usable hosts.

Subnet Network AddressFirst UsableLast UsableBroadcast
110.10.0.010.10.0.110.10.31.25410.10.31.255
210.10.32.010.10.32.110.10.63.25410.10.63.255
310.10.64.010.10.64.110.10.95.25410.10.95.255
410.10.96.010.10.96.110.10.127.25410.10.127.255
510.10.128.010.10.128.110.10.159.25410.10.159.255
610.10.160.010.10.160.110.10.191.25410.10.191.255
710.10.192.010.10.192.110.10.223.25410.10.223.255
810.10.224.010.10.224.110.10.255.25410.10.255.255

Answer

  • Subnet mask: 255.255.224.0 (/19)
  • Third subnet: 10.10.64.0/19
  • First usable IP: 10.10.64.1
  • Last usable IP: 10.10.95.254

— rhs

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