GATE CS 2016 Set 2 — Question 26
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+1 / -0EasyDFAFinite Automata & Regular LanguagesTheory of ComputationRegular Expressions
Theory of Computation → Finite Automata & Regular Languages → DFA
Last updated
Question
The number of states in the minimum sized DFA that accepts the language defined by the regular expressionis ________.
Correct answer
2 to 2
Solution
The regular expression generates all strings over that contain at least one occurrence of . In other words, it generates all strings with length . The only string not generated is the empty string .The minimal DFA for this language requires 2 states:
1.Initial State (): Represents having read 0 symbols (string is ). This is a non-accepting state.
2.Final State (): Represents having read 1 or more symbols. This is an accepting state.
Transitions:- From , on input '0' or '1', transition to .
- From , on input '0' or '1', stay in (since length is still ).
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…