What will be the value of largest MOD ripple counter that can be implemented in order to operate upto 16 MHz using J-K flipflops with tnd = 10 ns?

a. 8

b. 10

c. 32

d. 64

ANSWER: 64

Explanation:

According to the given data,

tnd = 10 ns & f = 16 MHz

Assume that 'n' number of flipflops are connected . Hence, the frequency can be expressed as,

f = 1 / n. td

16 x 106 = 1 / (n x 10 x 10 -9 )

n = 1 / 16 x 106 x 10 x 10-9

= 1 / 16 x 10-2

n = 6.25 ≈ 6

Thus, number of flipflops = 6

Number of MOD ripple counters = 2n = (2) 6 = 64