Question

How many flip flops are needed to divide the input frequency by 64?

Answer 1

As straight forward ripple counter divides the clock by 2 at each flip flop and since 2 x 2 x 2 x 2 x 2 x 2 = 64 it can be done with six flip flops.

Answer 2

Answer:

Six flip flops are needed to divide the input frequency by 64

Explanation:

We are required to construct a counter which divides the input frequency by 64

That is, we require a MOD-64

The number of flip-flops is required to construct the mod-64 counter must satisfy:

For a counter with 'n' flip-flops

$2^{n} \geq 64$

The minimum value of n satisfying the above is:

put n = 6

$2^{6}\geq 64$

64 = 64

Therefore six flip flops are needed to divide the input frequency by 64