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CBSE solutions for कम्प्यूटर साइंस विद पाइथान [अंग्रेजी] कक्षा १२ chapter 1 - Boolean Algebra [Latest edition]

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Chapters

Unit -1 : Review of Phython & Concept of Oops

    1: Review of Phython

    2: Concept of Object Oriented Programming

    3: Classes in Python

    4: Inheritance

Unit -2 : Advanced Programming with Python

    1: Liner List Manipulation

    2: Stacks & Queues in list

    3: Data File Handling

    4: Exception Handling & Generate Functions

Unit -3 : Databases Management Systems and SQL

    1: Databases Concepts and SQL

    2: Structure Query Language

Unit -4 : Introduction to Boolean Algebra

▶ 1: Boolean Algebra

    2: Boolean Functions and Reduce Forms

   Chapter 3: Application of Boolean Logic

Unit -5 : Communication Technologies

   Chapter 1: Networking Concepts Part I

   Chapter 2: Networking Concepts Part II

   Chapter 3: Networking Protocols

   Chapter 4: Mobile Telecommunication Technologies, Network Security and Internet Services

CBSE solutions for कम्प्यूटर साइंस विद पाइथान [अंग्रेजी] कक्षा १२ chapter 1 - Boolean Algebra - Shaalaa.com
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Solutions for Chapter 1: Boolean Algebra

Below listed, you can find solutions for Chapter 1 of CBSE CBSE for कम्प्यूटर साइंस विद पाइथान [अंग्रेजी] कक्षा १२.


EXERCISE
EXERCISE [Pages 217 - 219]

CBSE solutions for कम्प्यूटर साइंस विद पाइथान [अंग्रेजी] कक्षा १२ 1 Boolean Algebra EXERCISE [Pages 217 - 219]

1.Page 217

The commutative law of Boolean algebra states that

A + B = A · B.

  • True

  • False

2.Page 217

Applying Dr. Morgan's theorem to the expression (ABC)', we get ______.

  • A' + B' + C'

  • (A + B + C)'

  • A + B' + C·C'

  • A(B + C)

3.Page 217

Which Boolean Algebra theorem allow us to group operands in an expression in any order without affecting the results of the operation:

  • Associative

  • Commutative

  • Boolean

  • Distributive

4.Page 217

Applying Dr. Morgans theorem to the expression ((x+y)'+z)', we get ______.

  • (x + y)z

  • (x' + y')z

  • (x + y)z'

  • (x' + y')z'

5.Page 217

Applying the distributive law to the expression A (B+C'+D), we get ______.

  • AB + AC + AD

  • ABCD

  • A + B + C + D

  • AB + AC' + AD

6.Page 217

A variable is a symbol used to represent a logical quantity that can have a value of 1 or 0.

  • True

  • False

7.Page 218

The OR operation is Boolean multiplication and the AND operation is Boolean addition.

  • True

  • False

8.Page 218

In Boolean Algebra, A+1 = 1

  • True

  • False

9.Page 218

In the Commutative law, in ORing and ANDing of two variables. The order in which the variables are ORed or ANDed makes no difference.

  • True

  • False

10.Page 218

Verify using truth table, DeMorgan's theorem for three variables.

11. i)Page 218

Construct a truth table for the following function.

F1(A,B,C) = A + BC'

11. ii)Page 218

Construct a truth table for the following function.

F2(A,B,C) = AC + BC + AB'

11. iii)Page 218

Construct a truth table for the following function.

F3(w,x,y,z) = y'z + wxy' + wxz' + wx'z

11. iv)Page 218

Construct a truth table for the following function.

(x + y) . ( y + z) . (z + x)

12. i)Page 218

Expand the following expression using De Morgan's theorem.

F1(A,B,C) = (AB)'(ABC)'(A'C)'

12. ii)Page 218

Expand the following expression using De Morgan's theorem.

F2(A,B,C) = ((AB + B'C).(AC + A'C'))'

13.Page 218

State the fundamental axioms of Boolean algebra.

14.Page 218

Explain principle of Duality of Boolean algebra.

15.Page 218

What do you mean by literal?

16.Page 218

List the theorems of Boolean Algebra.

17.Page 218

What is the difference between operator in mathematics and logic?

18. i)Page 218

Write Dual of A + 1 = 1.

18. ii)Page 219

Write Dual of x + x'y = x + y.

18. iii)Page 219

Write Dual of x + x' = 1.

18. iv)Page 219

Write Dual of x'(y + z) + x'(y' + z').

19.Page 219

How is Boolean Algebra different from Arithmetic algebra?

20. i)Page 219

Prove the following:

C + A (C + B) + BC = C + AB

20. ii)Page 219

Prove following:

(A + C)A + AC + C = A + C

20. iii)Page 219

Prove following:

BC + A(B+C) = AB + BC + AC

20. iv)Page 219

Prove following:

B + A (B + C) + BC = B + AC

20. v)Page 219

Prove following:

x+ (x. y) = x

20. vi)Page 219

Prove following:

(a' + b') . (a' + b) . (a + b') = a' . b'

21.Page 219

For the given truth table, write Boolean expression for function G1, G2, G3, G4, G5.

X Y Z G1 G2 G3 G4 G5
0 0 0 0 0 0 0 1
0 0 1 0 1 0 1 0
0 1 0 1 0 0 1 0
0 1 1 1 1 0 1 0
1 0 0 1 0 0 1 1
1 0 1 0 0 1 0 1
1 1 0 0 1 1 0 0
1 1 1 0 0 1 0 1
22.Page 219

Express the OR operator in the terms of AND and NOT operator.

23.Page 219

List the reasons used for algebraic proof of Associative theorm.

Solutions for 1: Boolean Algebra

EXERCISE
CBSE solutions for कम्प्यूटर साइंस विद पाइथान [अंग्रेजी] कक्षा १२ chapter 1 - Boolean Algebra - Shaalaa.com

CBSE solutions for कम्प्यूटर साइंस विद पाइथान [अंग्रेजी] कक्षा १२ chapter 1 - Boolean Algebra

Shaalaa.com has the CBSE Mathematics कम्प्यूटर साइंस विद पाइथान [अंग्रेजी] कक्षा १२ CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. CBSE solutions for Mathematics कम्प्यूटर साइंस विद पाइथान [अंग्रेजी] कक्षा १२ CBSE 1 (Boolean Algebra) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

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Concepts covered in कम्प्यूटर साइंस विद पाइथान [अंग्रेजी] कक्षा १२ chapter 1 Boolean Algebra are .

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