(a) Using Arden's theorem, construct a regular expression for the tra…

Previous year question for Theory of Computation.

Question

(a) Using Arden's theorem, construct a regular expression for the transition diagram given below : (10)

(b) Convert the given Mealy machine into Moore machine : (10)

| State | Input $a = 0$ | Input $a = 1$ |

|---|---|---|---

| | State | Output | State | Output |

| $\rightarrow q_1$ | $q_3$ | $0$ | $q_2$ | $0$ |

| $q_2$ | $q_1$ | $1$ | $q_4$ | $0$ |

| $q_3$ | $q_2$ | $1$ | $q_1$ | $1$ |

| $q_4$ | $q_4$ | $1$ | $q_3$ | $0$ |

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