The minimum number of flip-flops needed to build a modulo-14 coun
| The minimum number of flip-flops needed to build a modulo-14 counter is:
A. 6
B. 7
C. 4
D. 5
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
Concept:
For a counter with ‘n’ flip flops:
- The total number of states = 2n (0 to 2n – 1)
- The largest number that can be stored in the counter = 2n – 1
To construct a counter with any MOD number, the minimum number flip flops required must satisfy:
Modulus ≤ 2n
Where n is the number of flip-flops.
Calculation:
Number no. of flip – flops are required to construct a mod-14 counter, must satisfy:
2n ≥ 14 i.e.
n = 4