How many flip-flops are required to build a binary counter circuit to count from 0 to 1023 ?

The correct option is 10.

Concept:

Counters:

• It is a sequential logic circuit that has a clock input signal and a group of output signals
• It represents an integer "counts" value.
• Internally, counters use flip-flops to represent the current counts and to retain the counts between clocks.
• N values can be counted with n number of flip flops. its relation is given by: \(2^n\geq N\)

        where, N = number of counts

          n = number of flip flops

Calculation-

Given- N= 1023

 \(2^n\geq 1023\)

 \(n=10\)

 Hence total of 10 flip flops are required to count from 0 to 1023.