In the given sequential circuit if the initial value of Q₁Q₀ = 00, then what…

2021

In the given sequential circuit if the initial value of Q₁Q₀ = 00, then what are the next three values of Q₁Q₀?

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  1. A.

    11, 10, 00

  2. B.

    11, 10, 01

  3. C.

    10, 11, 01

  4. D.

    10, 00, 01

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Show answer & explanation

Correct answer: B

Starting with the initial state Q1Q0 = 00:

  1. First Clock Pulse:

    • Q0 receives the pulse and toggles from 0 to 1.

    • Since Q0 went from 0 to 1 (a positive edge), it triggers Q1.

    • Q1 toggles from 0 to 1.

    • New State: 11

  2. Second Clock Pulse:

    • Q0 receives the pulse and toggles from 1 to 0.

    • Since Q0 went from 1 to 0 (a negative edge), it does not trigger the positive edge-triggered Q1.

    • Q1 remains 1.

    • New State: 10

  3. Third Clock Pulse:

    1. Q0 receives the pulse and toggles from 0 to 1.

    2. Since Q0 went from 0 to 1 (positive edge), it triggers Q1.

    3. Q1 toggles from 1 to 0.

    4. New State: 01

Final Answer

If the initial value is 00, the next three values of Q1Q0 are:

11, 10, 01

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