GATE CS 2015 Set 3 — Question 32
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33MediumDFAFinite Automata & Regular LanguagesTheory of ComputationRegular Expressions
Theory of Computation → Finite Automata & Regular Languages → DFA
Last updated
Question
Let L be the language represented by the regular expression where . What is the minimum number of states in a DFA that recognizes (complement of L)?
Correct answer
(B) 5
Solution
The language consists of all strings containing the substring "0011".
A minimal DFA for requires 5 states:
A minimal DFA for requires 5 states:
1.: Start state (no progress towards 0011)
2.: Seen "0"
3.: Seen "00"
4.: Seen "001"
5.: Seen "0011" (Accepting/Trap state)
The transitions are:- : 0->1, 1->0
- : 0->2, 1->0
- : 0->2, 1->3
- : 0->1, 1->4
- : 0->4, 1->4
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CS question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Finite Automata & Regular Languages
2026 Set 2 Q13Which one of the following statements is equivalent to the following assertion? Turing machine …2026 Set 1 Q25Consider the following grammar where is the start symbol, and and are terminal symbols.…2026 Set 1 Q26Let be a nondeterministic finite automaton (NFA) with 6 states over a finite alphabet. Which of…2026 Set 2 Q29Which of the following grammars is/are ambiguous?2026 Set 2 Q47Consider the following two finite automata and . [figure] Which of the following…