ITPEC FE Morning April 2018 Question 33
Which of the following is a pair of IP addresses belonging to the same subnet, when the subnet mask is 255.255.255.240?
Explanation
192.168.1.17 and 192.168.1.29 — both fall in the block 16 to 31 that the mask defines.
The mask 255.255.255.240 ends in 11110000, so the last 4 bits are the host part and each subnet is a block of 24 = 16 addresses: 0–15, 16–31, 32–47, 48–63, and so on. Two addresses share a subnet when their last octets lie in the same block, that is, when the last octet AND 240 gives the same value.
- •17 is
00010001and 29 is00011101; both AND 240 give 16
Answer (b)
Why not others:
- •(a) — 14 is in 0–15 and 17 in 16–31; they are only three apart but on either side of the boundary at 16
- •(c) — 29 is in 16–31 and 33 in 32–47, split by the boundary at 32
- •(d) — 33 is in 32–47 and 49 in 48–63; they are exactly 16 apart, one whole block
Key rule: Block size is 256 minus the last non-255 mask octet; addresses share a subnet only if they sit in the same block, however close their numbers are.
Networks · AI-written, may contain errors
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