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Exam Questions Papers - Engineering

Q1:

2's complement representation of a 16 bit number (one sign bit and 15 magnitude bits) is FFFF. Its magnitude in decimal representation is

A 0

B 1

C 32, 767

D 65, 535

ANS:B - 1

First bit is sign bit, hence its magnitude its → 2s complement ⇒ Sign bit is part of magnitude, so it may be 1.