Question

What is the maximum possible range of bit-count specifically in n-bit binary counter consisting of ‘n’ number of flip-flops?

(a) 0 to 2^n

(b) 0 to 2^n + 1

(c) 0 to 2^n – 1

(d) 0 to 2^n+1/2

I got this question in homework.

I want to ask this question from Counters in chapter Counters of Digital Circuits

Answer 1

Right answer is (c) 0 to 2^n – 1

To explain I would say: The maximum possible range of bit-count specifically in n-bit binary counter consisting of ‘n’ number of flip-flops is 0 to 2^n-1. For say, there is a 2-bit counter, then it will count till 2^2-1 = 3. Thus, it will count from 0 to 3.