Question

mod-64 ripple counter can be designed using 
 

• A. 4
• B. 5
• C. 6
• D. 7

Hint:

For any MOD-\(N\) counter, number of flip-flops required is \( n = \log_2 N \). If \(N\) is a power of 2, simply find the exponent.

Answer 1

The Correct Option is C

Step 1: Understand MOD number in counters.
A MOD-N counter counts from 0 to (N−1).
The number of flip-flops required in a ripple counter is determined by the relation:
\[ N = 2^n \] where \( n \) is the number of flip-flops.
Step 2: Apply formula for MOD-64.
Given \( N = 64 \).
So we solve: \[ 64 = 2^n \] Since \( 2^6 = 64 \), we get: \[ n = 6 \] Step 3: Conclusion.
Therefore, a MOD-64 ripple counter requires 6 flip-flops.
Hence, the correct option is (3).