Classical

Theory Of Computation MCQ - Regular languages and finite automata

1:  

 Number of states of the FSM required to simulate behaviour of a computer with a memory capable of storing "m" words, each of length 'n'

A.

m x 2n

B.

2mn

C.

2m+n

D.

all of these

 
 

Option: B

Explanation :

For every data here length is ‘n’ and memory's states are defined in terms of power of 2, 
Here the total memory capability for all the words = mn
Hence number of states are 2mn


2:  

An FSM with

A. 1 stack is more powerful than an FSM with no stack
B. 2 stacks is more powerful than a FSM with 1 stack
C. both (a) and (b)
D. None of these
 
 

Option: C

Explanation :


3:  

 If two finite states machine M and N are isomorphic, then

A. M can be transformed to N, merely re-labelling its states
B. M can be transformed to N, merely re-labelling its edges
C. Both (a) and (b)
D. None of these
 
 

Option: A

Explanation :


4:  

Power of

A. DFSM and NDFSM are same
B. DFSM and NDFSM are different
C. DPDM and NDPDM are diferent
D. Both (A) and (C)
 
 

Option: D

Explanation :


5:  

 Which of the folowing pairs of regular expressions are equivalent ?

A.

1 (01)* and (10)* 1

B.

x (xx) * and (xx) * x

C.

x+ and x+x*+

D.

All of these

 
 

Option: D

Explanation :

Option (a) and option (b) are similar deriving expressions using rule :-  (pq)*p = p(qp)*

Option (c) will also be valid since:-

(x+x*+) will be

--->(xx*)(x*x**)

--->(xx*)(x*x*)                                (Using x** = x*)

--->(xx*)(x*)                     (Using x*x* = x*)

--->(xx*)                              (Using x*x* = x*)

--->x+

So, the answer will be all of these (Option d)




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Syllabus covered in this section is-

  • Regular languages and finite automata
  • Context free languages and Push-down automata
  • Recursively enumerable sets and Turing machines
  • Undecidability, NPcompleteness
  • Models of computation-Finite Automata
  • Pushdown Automata
  • Non-detenninism and NFA. DPDA and PDAs and Languages accepted by these Structures
  • Grammars, Languages,
  • Non- computability and Examples of non-computable problems

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