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Combinational and Sequential Circuits

GATE CSE 2011 · Q51

MCQ2 marksMedium

Time

If all the flip-flops were reset to 0 at power on, what is the total number of distinct outputs (states) represented by PQRPQR generated by the counter?

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Solution

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Official answer: B) 4

Combinational and Sequential Circuits

Starting with the initial state (P,Q,R)=(0,0,0)(P, Q, R) = (0, 0, 0) at power-on:

  1. State 000000: Evaluating the next-state logic gives the next state as 100100 (or the sequence of states generated by the counter).

  2. Continuing the state transitions until the states repeat:

    • State 1: (0,0,0)(0, 0, 0)

    • State 2: (1,0,0)(1, 0, 0)

    • State 3: (0,1,0)(0, 1, 0)

    • State 4: (0,1,1)(0, 1, 1)

After 4 states, the counter cycles back to the initial state (0,0,0)(0, 0, 0), producing a cycle of length 4.

Therefore, the total number of distinct states generated by the counter is 4, which corresponds to option (B).

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This Combinational and Sequential Circuits previous year question is Q51 of the GATE CSE 2011 paper. Find more GATE CSE PYQs on Combinational and Sequential Circuits in Digital Logic, or browse all GATE CSE PYQs.

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Combinational and Sequential Circuits in GATE CSE

Combinational and Sequential Circuits has 32 GATE CSE PYQs across 22 papers from 2011 to 2026. 14 of them are 2-mark MCQs like this one, and GATE CSE 2011 has 3.

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GateAI solution cardGATE CSE 2011 · Q51 · MCQ

If all the flip-flops were reset to 0 at power on, what is the total number of distinct outputs (states) represented by PQR generated by the counter?

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