GATE | GATE CS 2008 | Question 49

Given below are two finite state automata (→ indicates the start state and F indicates a final state)Which of the following represents the product automaton Z×Y?

GATECS200849
(A) A
(B) B
(C) C
(D) D


Answer: (A)

Explanation: All four states 11, 21, 22 , 12 are interpreted as P, Q, R and S. By looking at options we can easily find out that →11 is P and 22(F) is R. Now say 12 is S and 21 is Q.
Let’s construct the transition table for ZxY.

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So, the answer should be (A) but in the row for S, it should be P and Q and not Q and P.



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