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Question

Suppose computers A and B have IP addresses 10.105.1.113 and 10.105.1.91 respectively and they both use the same netmask N. Which of the values on N given below should not be used if A and B should belong to the same network?

A
255.255.255.192
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B
255.255.255.0
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C
255.255.255.224
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D
255.255.255.128
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Solution

The correct option is C 255.255.255.224
IP address of A = 10.105.1.113
=10.105.1.01110001
IP address of B = 10.105.1.91
= 10.105.1.01011011
For finding network address we take AND of IP
address with the netmask N. So we check one by one

(a) (i) 255.255.255.0=N10.105.1.00000000––––––––––––––––––]TakingAND10.105.1.00000000––––––––––––––––––

(ii) By taking and with B2552552550000000010105101011011¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯101051000000000

So both belong to same network
(b) (i)2252252251282552552551000000010105101110001IPofA¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯10105100000000

(ii) 2552552551000000010105101011011IPofB¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯10105100000000

So both belong to same N/W
(d) (i) 2552552551110000010105101110001IPofA¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯10105101100000

(ii)25525525511100000101051010111011IPofB¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯10105101100000
Both are not same so it not belong to same network.

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