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Welcome to the Finite Automata MCQs Page

Dive deep into the fascinating world of Finite Automata with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Finite Automata, a crucial aspect of Formal Languages and Automata Theory. In this section, you will encounter a diverse range of MCQs that cover various aspects of Finite Automata, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Formal Languages and Automata Theory.

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Check out the MCQs below to embark on an enriching journey through Finite Automata. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Formal Languages and Automata Theory.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Finite Automata. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Finite Automata MCQs | Page 6 of 23

Explore more Topics under Formal Languages and Automata Theory

Q51.
What does the following figure most correctly represents?

a.

Final state with loop x

b.

Transitional state with loop x

c.

Initial state as well as final state with loop x

d.

Insufficient Data

Discuss
Answer: (c).Initial state as well as final state with loop x
Q52.
Which of the following will not be accepted by the following DFA?

a.

ababaabaa

b.

abbbaa

c.

abbbaabb

d.

abbaabbaa

Discuss
Answer: (a).ababaabaa
Q53.
Which of the following will the given DFA won’t accept?

a.

ε

b.

11010

c.

10001010

d.

String of letter count 11

Discuss
Answer: (a).ε
Q54.
Which of the following is the corresponding Language to the given DFA?

a.

L= {x ϵ {0, 1} * | x ends in 1 and does not contain substring 01}

b.

L= {x ϵ {0,1} * |x ends in 1 and does not contain substring 00}

c.

L= {x ϵ {0,1} |x ends in 1 and does not contain substring 00}

d.

L= {x ϵ {0,1} * |x ends in 1 and does not contain substring 11}

Discuss
Answer: (b).L= {x ϵ {0,1} * |x ends in 1 and does not contain substring 00}
Q55.
Let the given DFA consist of x states. Find x-y such that y is the number of states on minimization of DFA?

a.

3

b.

2

c.

1

d.

4

Discuss
Answer: (b).2
Q56.
For the DFA given below compute the following:
Union of all possible combinations at state 7,8 and 9.

a.

{aba, ac, cc, ca, cb, bc, bab, ca}

b.

{bab, bc, ac, aba, ca, aac, ccb}

c.

{cc, ca, cb, aba, bab, ac}

d.

{aba, ac, cc, ca, cb, bc, bab, caa}

Discuss
Answer: (d).{aba, ac, cc, ca, cb, bc, bab, caa}
Q57.
Given Language: L= {xϵ∑= {a, b} |x has a substring ‘aa’ in the production}. Which of the corresponding representation notate the same?

a.

a

b.

b

c.

c

d.

d

Discuss
Answer: (a).a
Q58.
Let u=’1101’, v=’0001’, then uv=11010001 and vu= 00011101.Using the given information what is the identity element for the string?

a.

u^-1

b.

v^-1

c.

u^-1v^-1

d.

ε

Discuss
Answer: (d).ε
Q59.
Which of the following substring will the following notation result?

a.

0101011

b.

0101010

c.

010100

d.

100001

Discuss
Answer: (c).010100
Q60.
Predict the following step in the given bunch of steps which accepts a strings which is of even length and has a prefix=’01’
δ (q0, ε) =q0 < δ(q0,0) =δ (δ (q0, ε),0) =δ(q0,0) =q1 < _______________

a.

δ (q0, 011) =δ (δ (q0,1), 1) =δ (q2, 1) =q3

b.

δ (q0, 01) =δ (δ (q0, 0), 1) = δ (q1, 1) =q2

c.

δ (q0, 011) =δ (δ (q01, 1), 1) =δ (q2, 0) =q3

d.

δ (q0, 0111) =δ (δ (q0, 011), 0) = δ (q3, 1) =q2

Discuss
Answer: (b).δ (q0, 01) =δ (δ (q0, 0), 1) = δ (q1, 1) =q2
Page 6 of 23

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