Computer Sciences > GATE 2026 SET-2 > Computer Networks
If an IP network uses a subnet mask of 255.255.240.0, the maximum number of IP
addresses that can be assigned to network interfaces is __________. (answer in
integer)
Correct : 4094
The correct answer is 4094.
Analyse the subnet mask: 255.255.240.0 in binary = 11111111.11111111.11110000.00000000. This is a /20 mask — 20 network bits and 12 host bits.
Total addresses in the subnet: 212 = 4096 addresses.
Subtract reserved addresses: Every subnet reserves 2 addresses that cannot be assigned to interfaces -- the network address (all host bits = 0) and the broadcast address (all host bits = 1).
Maximum assignable addresses: 4096 − 2 = 4094.
These 4094 addresses can be assigned to host interfaces such as computers, routers, or servers within this subnet.
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