Finite State machine (NDFA & DFA) MCQ

 1. How many tuples are in finite state machine?

a) 3

b) 4

c) 5

d) infinite

Answer-c

Finite state machine is defined as 5-tuples (Q,∑,δ,q0,F)

Where

Q: finite set of states

∑: finite set of input symbol

q0: initial state

F: final state

δ: Transition function

2. Which of the following is transition function for DFA .

a) Q * Σ ->2^Q

b) Q * Q -> Σ

c) Σ * Σ -> Q

d) Q * Σ -> Q

Answer-d

Explanation-

The transition function for DFA is defined as

δ: Q x ∑ →Q  

3. How many states are required to accept string 

which ends with 10.

a) 3

b) 2

c) 1

d) 4

Answer:a

4. Which of the following is transition function for NDFA .

a) Q * Σ ->2^Q

b) Q * Q -> Σ

c) Σ * Σ -> Q

d) Q * Σ -> Q

Answer-a

The transition function for NDFA is defined as

δ: Q x ∑ →2^Q  

5. δ*(q1,xy) is equivalent to .

a) δ((q1,y),x)

b) δ(δ*(q1,x),y)

c) δ(q1,xy)

d) None of these

Answer:b

6. String w is accepted by finite automata if .

a) δ(q0,w)|-*qf

b) δ(qf,w)|-*q0

c) δ(q0,qf)|-w

d) δ(qf,q0)|-w

Answer:a

Explanation: If FA starts with starting state and after finite moves if reaches to final step then it called accepted.

7. Languages of a finite state machine is

a) If its every string  is accepted by finite state machine

b) If its last string accepted by finite state machine

c) if it halts

d) All of the above

Answer:a

Explanation: If every string  accepted by automata it is called language of automata.

8. Which of the following type of language is accepted by finite automata ?

a) Type 0

b) Type 1

c) Type 2

d) Type 3

Answer:d

Explanation: According to Chomsky hierarchy type 3 is accepted by FA.

9. How many stacks are required in Finite state machine.

a) 1

b) 0

c) 2

d) 5

Answer:b

Explanation: Finite automata doesn’t require any stack operation .

10. Number of final state require to accept Φ in minimal finite automata.

a) 1

b) 2

c) 3

d) 0

Answer:d

Explanation: No final state requires.

11. Regular expression for all strings starts with ab and ends with bba is.

a) aba*b*bba

b) ab(ab)*bba

c) ab(a+b)*bba

d) All of the mentioned

Answer:c

Explanation: Starts with ab then any number of a or b and ends with bba.

12. How many DFA’s exits with two states over input alphabet {0,1} ?

a) 16

b) 26

c) 32

d) 64

Answer:d

Explanation: Number of DFA’s = 2n * n(2*n).

13. The basic limitation of finite automata is that

a) It can’t remember arbitrary large amount of information.

b) It sometimes recognize grammar that are not regular.

c) It sometimes fails to recognize regular grammar.

d) All of the mentioned

Answer:a

Explanation:Because there is no memory associated with automata.

14. How many states are required to store ‘4’ words each of length ‘8’.

a) 4 * 28

b) 2(4*8)

c) 2(4+8)

d) None of the mentioned

Answer:b

Explanation: 2(m*n) states requires .

15.Which of the following is an application of Finite Automaton?

a) Lexical analyzer

b) Parsers

c) Text editor

d) All of the above

Answer-d

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