GATE | GATE CS 1997 | Question 44

Which one of the following regular expressions over {0,1} denotes the set of all strings not containing 100 as a substring?

(A) 0* (1+0)*
(B) 0*1010*
(C) 0*1*01*
(D) 0*(10+1)*


Answer: (D)

Explanation: According to given question, it should generate all other string / substring, but in given options :

• (A) generates 100
• (B) doesn’t generate 0
• (C) doesn’t generate 1

Only option (D) is correct.

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