The GATE Grind

GATE 2026 EC – Question 27

Digital Circuits · Sequential Circuits · 1 mark · Multiple select

A binary ripple counter is designed to count $(0)_{10}$ to $(64)_{10}$. Which of the following is/are the number of flip-flops required to design the counter?

  1. 6
  2. 7
  3. 4
  4. 5

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Correct answer: (B) 7

Explanation

Counting 0 to 64 needs 65 distinct states. Since $2^6=64<65\le2^7$, 7 flip-flops are required.