Gate CS-2015-2 Question Paper With Solutions

Q. 46 Consider alphabet ∑ = {0, 1}, the null/empty string λ and the sets of strings X, X1 and X2generated by the corresponding non-terminals of a regular grammar. X, X1 and X2 are related as follows:

X = 1 X1
X1 = 0 X1 + 1 X2
X2 = 0 X1 + {λ}

Which one of the following choices precisely represents the strings in X?

(A) 10 (0* + (10)*)1

(B) 10 (0* + (10)*)*1

(C) 1(0* + 10)*1

(D) 10 (0 + 10)*1 + 110 (0 + 10)*1

Answer: (C)

Explanation:

Gate CS-2015-2 Question Paper With Solutions

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