GATE | GATE-CS-2014-(Set-1) | Question 65

Which of the regular expressions given below represent the following DFA?

I) 0*1(1+00*1)*
II) 0*1*1+11*0*1
III) (0+1)*1 

(A) I and II only
(B) I and III only
(C) II and III only
(D) I, II, and III


Answer: (B)

Explanation:

I) 0*1(1+00*1)*
II) 0*1*1+11*0*1
III) (0+1)*1 

(I) and  (III) represent DFA.

(II) doesn't represent as the DFA accepts strings like 11011,
    but the regular expression doesn't accept. 

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