Answer to Question #137423 in Discrete Mathematics for Raziya Sultana

Question

How many bits would be required to represent decimal numbers from -32,768 to +32,767?

Answer 1

We need to represent 65536 decimal numbers in total (32768 negative integers, zero and 32767 positive numbers). The number of bits required to represent 65536 integers is $\log_{2}{65536}=16$.