In the network 200.10.11.144/27, the fourth octet (in decimal) of the last IP…

2015

In the network 200.10.11.144/27, the fourth octet (in decimal) of the last IP address of the network which can be assigned to a host is ____________

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Correct answer: 158

Key idea: for a /27 prefix the subnet size in the last octet is 32 (mask 255.255.255.224).

  • Find the subnet start: take the largest multiple of 32 that is ≤ 144, which is 128. So the network is 200.10.11.128.

  • Find the broadcast address: network + 31 = 159, so broadcast is 200.10.11.159.

  • Last usable host = broadcast − 1 = 158 (200.10.11.158).

Answer: 158

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