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GATE 2022 IN – Question 46

Digital Electronics · Sequential logic and counters · 2 marks · Multiple choice

The digital circuit shown ________

Diagram for GATE 2022 IN question 46
  1. is a divide-by-5 counter
  2. is a divide-by-7 counter
  3. is a divide-by-8 counter
  4. does not function as a counter due to disjoint cycles of states

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Show answer and explanation

Correct answer: (A) is a divide-by-5 counter

Explanation

The input is D0=NOT(Q1+Q2), with Q1next=Q0 and Q2next=Q1. In order Q2Q1Q0, the cycle is 000→001→011→110→100→000. The remaining states enter this cycle. It is a **divide-by-5 counter, A**.