Question 2981 – 2013 December UGC NET Paper 1
February 13, 2024Question 2982 – 2013 December UGC NET Paper 1
February 13, 2024Theory-of-Computation
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Question 14
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A finite state machine with the following state table has a single input x and a single out z.

If the initial state is unknown, then the shortest input sequence to reach the final state C is:
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01
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10
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101
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110
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Question 14 Explanation:

If A is the start state, shortest sequence is 10 ‘or’ 00 to reach C.
If B is the start state, shortest sequence is 0 to reach C.
If C is the start state, shortest sequence is 10 or 00 to reach C.
If D is the start state, shortest sequence is 0 to reach C.
∴ (B) is correct.
Correct Answer: B
Question 14 Explanation:

If A is the start state, shortest sequence is 10 ‘or’ 00 to reach C.
If B is the start state, shortest sequence is 0 to reach C.
If C is the start state, shortest sequence is 10 or 00 to reach C.
If D is the start state, shortest sequence is 0 to reach C.
∴ (B) is correct.
