NPTEL Theory of Computation Assignment 1 Answer

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NPTEL Theory of Computation Assignment

ABOUT THE COURSE :
This is an introductory course on Theory of Computation intended for undergraduate students in computer science. In this course we will introduce various models of computation and study their power and limitations. We will also explore the properties of the corresponding language classes defined by these models and the relations between them. We will assume the student is comfortable in analytical reasoning and has preferably done a course on Data Structures and Algorithms.

INTENDED AUDIENCE: Computer Science undergraduate students.

PRE-REQUISITES: It is recommended that the candidate has done a course in Data Structures and Algorithms.

INDUSTRY SUPPORT: Content will be updated soon

Next Week Assignment Answers

This course can have Associate in Nursing unproctored programming communication conjointly excluding the Proctored communication, please check announcement section for date and time. The programming communication can have a weightage of twenty fifth towards the ultimate score.

Final score = Assignment score + Unproctored programming exam score + Proctored Exam score

Assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
( All assignments in a particular week will be counted towards final scoring – quizzes and programming assignments).
Unproctored programming exam score = 25% of the average scores obtained as part of Unproctored programming exam – out of 100
Proctored Exam score =50% of the proctored certification exam score out of 100

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF ASSIGNMENT SCORE >=10/25 AND
UNPROCTORED PROGRAMMING EXAM SCORE >=10/25 AND PROCTORED EXAM SCORE >= 20/50.

If any one of the 3 criteria is not met, you will not be eligible for the certificate even if the Final score >= 40/100.

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1 point

$L_{1}$ and $L_{2}$ are regular languages.

Define

L_{3} = L_{1} \cap {{\bar{L}}_{2} \cup {\bar{L}}_{1}}

and

L_{4} = L_{1} \cup {{\bar{L}}_{2} \cap {\bar{L}}_{1}}

Which of the following statements is correct?

$L_{3}$ is regular but $L_{4}$ is not regular.

$L_{3}$ is not regular but $L_{4}$ is regular.

Both $L_{3}$ and $L_{4}$ are regular.

Neither $L_{3}$ nor $L_{4}$ is regular.

Ans – c

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1 point

Consider the following NFA:

Which of the following is the correct description of language recognized by the NFA?

$L = {w \in {0}^{*} ∣ | w |$ is divisible by 1 or 2 $}$ .

$L = {w \in {0}^{*} ∣ | w |$ is divisible by 2 or 3 $}$ .

$L = {w \in {0}^{*} ∣ | w |$ is divisible by 1 or 3 $}$ .

$L = {w \in {0}^{*} ∣ | w |$ is divisible by 3 or 4 $}$ .

Ans – a

1 point

Let

Σ = {a, b}

.
Which of the following is the correct description of language recognized by the DFA below?

Set of nonempty strings which contains either ‘aa’ or ‘bb’.

Set of nonempty strings having all b’s after all a’s.

Set of nonempty strings which ends with ‘aa’ or ‘bb’.

Set of nonempty strings whose characters alternate between a’s and b’s.

Ans – d

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1 point

Which state in the following DFA should be made the initial state to make it accept the language $L = {w \in {0, 1}^{*} | w$ has even no of 1’s and odd number of 0’s $}$ ?

$q_{0}$

$q_{1}$

$q_{2}$

$q_{3}$

Ans – b

1 point

What is the language accepted by the following NFA?

The set of string containing $a b a b$ as substring.

The set of strings beginning with $a b a b$ .

The set of strings ending with

a b a b

The set of strings with $b a b a b$ as substring.

Ans – a

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1 point

Let

L \subseteq {0, 1}^{*}

. Which of the following is true?

If L is regular, all subsets of L are regular.

If all proper subsets of L are regular, then L is regular.

If all finite subsets of L are regular, then L is regular.

If a proper subset of L is not regular, then L is not regular.

Ans – b

1 point

Cardinality of the language recognized by below NFA is?

Infinite.

10.

Ans – d

1 point

Consider the following DFA :

Which of the following language is accepted by the DFA?

Set of all nonempty strings containing either

a a

b b

Set of all nonempty strings whose first and last character are the same.

Set of all nonempty strings in which characters alternate between $a$ and $b$ .

Set of all nonempty strings containing either $a b$ or $b a$ .

Ans – b

1 point

Consider the following two NFAs

A_{1}

and

A_{2}

Which one of the following is true?

Any string accepted by $A_{1}$ is also accepted by $A_{2}$ .

Any string accepted by $A_{2}$ is also accepted by $A_{1}$ .

Both A and B.

None of the above.

Ans – c

1 point

If $L = {a b, a a, b a a}$ , which of the following strings is $not$ in $L^{*}$ ?

abaabaaabaa.

aaaabaaaa.

baaaaabaaaab.

baaaaabaa.

Ans – c

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NPTEL Theory of Computation Assignment 1 Answer

NPTEL Theory of Computation Assignment

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