What are the final states of the DFA generated from the following NFA? , ISRO…

2013

What are the final states of the DFA generated from the following NFA? , ISRO 2013

q73NFA


Answer: A. q0, q1, q2To determine the final states of the DFA, we perform subset construction on the NFA. The start state is q0. Due to epsilon transitions, the closure of q0…

  1. A.

    q0, q1, q2

  2. B.

    [q0, q1], [q0, q2], [ ]

  3. C.

    q0, [q1, q2]

  4. D.

    [q0, q1], q2

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Correct answer: A

To determine the final states of the DFA, we perform subset construction on the NFA. The start state is q0. Due to epsilon transitions, the closure of q0 includes {q0, q1, q2}. Since q2 is the final state in the NFA, any subset containing q2 is a final state in the DFA. The reachable subsets are {q0, q1, q2}, {q1, q2}, and {q2}. All three contain q2, so all are final states.

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