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QUESTION: 1

Number of states of FSM required to simulate behaviour of a computer with a memory capable of storing “m” words, each of length ‘n’

Solution:

QUESTION: 2

An FSM with

Solution:

QUESTION: 3

Which of the following is right?

Solution:

QUESTION: 4

Given a NFA with N states, the maximum number of states in an equivalent minimized DFA is at least.

Solution:

QUESTION: 5

Let L denotes the language generated by the grammar S – OSO/00. Which of the following is true?

Solution:

QUESTION: 6

Which of the following pairs of regular expressions are equivalent?

Solution:

Explanation:

Rule (pq)*p=p (qp)*

Therefore–(xx*) (x*x**)

(xx*)(x*x*) [Using x**=x] (xx*)(x*) [Using x*x*=x*] (xx*) [Using x*xx*=x*)

x+

QUESTION: 7

Let L denotes the language generated by the grammar S ->0S0/00. Which of the following is true?

Solution:

Explanation: The grammar itself is not regular but language L is regular as L can be represented using a regular grammar, for example S -> S00/00.

QUESTION: 8

Which of the following are not regular?

Solution:

Explanation: Strings of odd number of zeroes can be generated by the regular expression (00) *0.Pumping lemma can be used to prove the non-regularity of the other options.

QUESTION: 9

If ∑ = {a, b, c, d, e, f} then number of strings in ∑ of length 4 such that no symbol is used more than once in a string is

Solution:

Explanation: Here string length is 4 so we create string of length 4 by 6 values firstly we arrange any value by 6 methods. Then Remaining numbers are 5 so we can arrange them by 5 methods then remaining numbers are 4 so we arrange them by 4 methods and then 3.Thus 6*5*4*3=360.

QUESTION: 10

Which one of the following statement is FALSE?

Solution:

Explanation: CFL is closed under Kleene closure, concatenation, and Union

QUESTION: 11

Which of the following strings is not generated by the following grammar?S → SaSbS|ε

Solution:

Explanation:

S->aSbS putting S-> € and then S->SaSbS

S->aSaSaSbSbSbS putting S->SaSbS

S->aaabbb putting S->€.

QUESTION: 12

Regular expressions can be used only for values of type string and number.

Solution:

Explanation: RE is used for all types of string and numbers.

QUESTION: 13

What is the Regular Expression Matching Zero or More Specific Characters

Solution:

Explanation: Zero or Specific Expression matching can be done only by a single character that is*

QUESTION: 14

All __________ are automatically treated as regular expressions.

Solution:

Explanation: It is seen that programmatic description are treated as regular expression.

QUESTION: 15

The production Grammar is {S->aSbb,S->abb} is

Solution:

Explanation: As per the definition of type-2 grammar.

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