1

GATE CSE 2016 Set 2

Numerical

+1

-0

The number of states in the minimum sized $$DFA$$ that accepts the language defined by the regular expression
$$${\left( {0 + 1} \right)^ * }\left( {0 + 1} \right){\left( {0 + 1} \right)^ * }$$$

is ___________________.

is ___________________.

Your input ____

2

GATE CSE 2016 Set 2

MCQ (Single Correct Answer)

+1

-0.3

Language $${L_1}$$ is defined by the grammar: $$S{}_1 \to a{S_1}b|\varepsilon $$

Language $${L_2}$$ is defined by the grammar: $$S{}_2 \to ab{S_2}|\varepsilon $$

Language $${L_2}$$ is defined by the grammar: $$S{}_2 \to ab{S_2}|\varepsilon $$

Consider the following statements:

$$P:$$ $${L_1}$$ is regular

$$Q:$$ $${L_2}$$ is regular

Which one of the following is **TRUE**?

3

GATE CSE 2016 Set 1

MCQ (Single Correct Answer)

+1

-0.3

Which one of the following regular expressions represents the language: the set of all binary strings having two consecutive $$0s$$ and two consecutive $$1s?$$

4

GATE CSE 2015 Set 3

MCQ (Single Correct Answer)

+1

-0.3

Let $$L$$ be the language represented by the regular expression $$\sum {^ * 0011\sum {^ * } } $$ where $$\sum { = \left\{ {0,1} \right\}} .$$ What is the minimum number of states in a $$DFA$$ that recognizes $$\overline L $$ (complement of $$L$$)?

Questions Asked from Finite Automata and Regular Language (Marks 1)

Number in Brackets after Paper Indicates No. of Questions

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GATE CSE Subjects

Theory of Computation

Operating Systems

Algorithms

Database Management System

Data Structures

Computer Networks

Software Engineering

Compiler Design

Web Technologies

General Aptitude

Discrete Mathematics

Programming Languages