NPTEL Digital System Design Week 9 Assignment Answers 2025
1. Derive input and output equations
- DA=X⊕B;DB=A+X;Z=A⊕B
- DA=X.B+X′.B′;DB=(A′.X′)′;Z=A′.B+A.B′
- DA=X.B′+X′.B′;DB=(A′.X′);Z=A′.B+A.B′
- DA=X.B′+X′.B;DB=(A′.X′);Z=A′.B+A′.B′
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2. Based on the waveform determine the output Z after the third clock cycle.
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3. Based on the waveform determine the output Z after the fifth clock cycle.
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4. Derive input and output equations
- DA=x.Q′A+QB;DB=QA.QB;y=x′.Q′B+x.QA
- DA=x′.Q′A+QB;DB=Q′A.Q′B;y=x′.Q′B+x.QA
- DA=x.QA+QB;DB=Q′A.QB;y=x′.Q′B+x.QA
- DA=x.Q′A+QB;DB=QA.QB;y=x′.Q′B+x′.Q′A
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5.

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6.

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7. Which of the following state diagrams correctly represents the given sequential circuit?
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8. Derive input equations

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9.

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10.

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11. Which of the following state diagrams correctly represents the given sequential circuit?
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12. Is it a mealy or moore machine
- mealy machine
- moore machine
- both
- insufficient data provided
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13. In the above-given state diagram of the sequence detector circuit, select the correct sequence that this circuit accepts
- 1011
- 1101
- 1010
- 1100
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14. In the above given circuit, with the input sequence as “10101010” what will be the corresponding output sequence
- 00010101
- 01010010
- 01101101
- 10010010
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15. Below is a state diagram to detect a sequence 1001 using mealy model (non-overlapping), you need to select the valid transitions from S2 to S1 (M) and from, S3 to S0 (N), where transitions are presented as input/output?

- M = 1/0, N = 0/1
- M = 0/1, N = 1/1
- M = 1/0, N = 1/1
- M = 1/1, N = 1/1
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