Question

[U.P.S.C. I.E.S. E.E. Prelims, 2018]
57. 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)
(d) 65, 535​

Answer 1

Answer:

B. 1

Step-by-step explanation:

Convert FFFF Into binary and it will be 1111111111111111

As it is a 2's compliment, if we reverse the compliment

Ii.e 1111111111111111-1 = 1111111111111110

And its 1's compliment would be 1

Thus the decimal number is 1