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GATE 2010 CS (CS1) – Question 42

Digital Logic · Sequential Circuits · 2 marks · Multiple choice

Two positive-edge-triggered T flip-flops have T=1. The external clock drives flip-flop 0, whose Q₀ output clocks flip-flop 1. Starting from Q₁Q₀=00, what is the sequence after successive external clock edges?

Diagram for GATE 2010 CS (CS1) question 42
  1. 11,10,01,00
  2. 10,11,01,00
  3. 10,00,01,11
  4. 11,10,00,01

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Show answer and explanation

Correct answer: (A) 11,10,01,00

Explanation

On the first edge Q₀ rises from zero to one, producing a rising edge at the second flip-flop, so Q₁ also toggles: 11. The next Q₀ transition is falling, leaving Q₁ unchanged: 10. The next rising Q₀ toggles Q₁ back to zero: 01. The fourth gives 00. Thus A.

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