Skip to content
Related Articles

Related Articles

Improve Article

GATE | GATE CS 2013 | Question 33

  • Difficulty Level : Hard
  • Last Updated : 28 Jun, 2021

Consider the DFA given.

gatecs201313

Which of the following are FALSE?

1. Complement of L(A) is context-free.
2. L(A) = L((11*0+0)(0 + 1)*0*1*)
3. For the language accepted by A, A is the minimal DFA.
4. A accepts all strings over {0, 1} of length at least 2. 

(A) 1 and 3 only
(B) 2 and 4 only
(C) 2 and 3 only
(D) 3 and 4 only


Answer: (D)

Explanation: 1 is true. L(A) is regular, its complement would also be regular. A regular language is also context free.

2 is true.



3 is false, the DFA can be minimized to two states. Where the second state is final state and we reach second state after a 0.

4 is clearly false as the DFA accepts a single 0.

Quiz of this Question

Attention reader! Don’t stop learning now.  Practice GATE exam well before the actual exam with the subject-wise and overall quizzes available in GATE Test Series Course.

Learn all GATE CS concepts with Free Live Classes on our youtube channel.

My Personal Notes arrow_drop_up
Recommended Articles
Page :