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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 16 of 23

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Q151.
If NFA of 6 states excluding the initial state is converted into DFA, maximum possible number of states for the DFA is ?

a.

64

b.

32

c.

128

d.

127

Discuss
Answer: (c).128
Q152.
NFA, in its name has ’non-deterministic’ because of :

a.

The result is undetermined

b.

The choice of path is non-deterministic

c.

The state to be transited next is non-deterministic

d.

All of the mentioned

Discuss
Answer: (b).The choice of path is non-deterministic
Q153.
Which of the following is correct proposition?
Statement 1: Non determinism is a generalization of Determinism.

Statement 2: Every DFA is automatically an NFA

a.

Statement 1 is correct because Statement 2 is correct

b.

Statement 2 is correct because Statement 2 is correct

c.

Statement 2 is false and Statement 1 is false

d.

Statement 1 is false because Statement 2 is false

Discuss
Answer: (b).Statement 2 is correct because Statement 2 is correct
Q154.
Given Language L= {xΟ΅ {a, b}*|x contains aba as its substring}
Find the difference of transitions made in constructing a DFA and an equivalent NFA?

a.

2

b.

3

c.

4

d.

Cannot be determined.

Discuss
Answer: (a).2
Q155.
The construction time for DFA from an equivalent NFA (m number of node)is:

a.

O(m^2)

b.

O(2^m)

c.

O(m)

d.

O(log m)

Discuss
Answer: (b).O(2^m)
Q156.
If n is the length of Input string and m is the number of nodes, the running time of DFA is x that of NFA.Find x?

a.

1/m^2

b.

2^m

c.

1/m

d.

log m

Discuss
Answer: (a).1/m^2
Q157.
Which of the following option is correct?

a.

NFA is slower to process and its representation uses more memory than DFA

b.

DFA is faster to process and its representation uses less memory than NFA

c.

NFA is slower to process and its representation uses less memory than DFA

d.

DFA is slower to process and its representation uses less memory than NFA

Discuss
Answer: (c).NFA is slower to process and its representation uses less memory than DFA
Q158.
The number of tuples in an extended Non Deterministic Finite Automaton:

a.

5

b.

6

c.

7

d.

4

Discuss
Answer: (a).5
Q159.
What is wrong in the given definition?
Def: ({q0, q1, q2}, {0,1}, Ξ΄, q3, {q3})

a.

The definition does not satisfy 5 Tuple definition of NFA

b.

There are no transition definition

c.

Initial and Final states do not belong to the Graph

d.

Initial and final states can’t be same

Discuss
Answer: (c).Initial and Final states do not belong to the Graph
Q160.
If Ξ΄ is the transition function for a given NFA, then we define the δ’ for the DFA accepting the same language would be:
Note: S is a subset of Q and a is a symbol.

a.

δ’ (S, a) =UpΟ΅s Ξ΄ (p, a)

b.

δ’ (S, a) =Upβ‰ s Ξ΄ (p, a)

c.

δ’ (S, a) =UpΟ΅s Ξ΄(p)

d.

δ’ (S) =Upβ‰ s Ξ΄(p)

Discuss
Answer: (a).δ’ (S, a) =UpΟ΅s Ξ΄ (p, a)
Page 16 of 23

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