Question

What is the binary equivalent of (-3/8)?

(a) (10011)2

(b) (0011)2

(c) (1100)2

(d) (1101)2

This question was posed to me in a national level competition.

Question is from Representation of Numbers in section Discrete Time Systems Implementation of Digital Signal Processing

Answer 1

The correct option is (d) (1101)2

The explanation is: The number (-3/8) is stored in the computer as the 2’s complement of (3/8)

We know that the binary equivalent of (3/8)=0011

Thus the twos complement of 0011=1101.