NCERT Solutions for Class 12 Help.html Computer Science With Python Chapter 11 Boolean Algebra

Boolean Algebra Here is the CBSE Help.html Chapter 11 for Class 12 students. Summary and detailed explanation of the lesson, including the definitions of difficult words. All of the exercises and questions and answers from the lesson's back end have been completed. NCERT Solutions for Class 12 Help.html Boolean Algebra Chapter 11 NCERT Solutions for Class 12 Help.html Boolean Algebra Chapter 11 The following is a summary in Hindi and English for the academic year 2025-26. You can save these solutions to your computer or use the Class 12 Help.html.

Question 1

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State Distributive Laws of Boolean Algebra and verify them using truth table.

(i) X. (Y+Z)= X.Y + X.Z
(ii) X + Y.Z= (X + Y). (X+Z)

Solution

(i)

X	Y	Z	Y+Z	X.(Y+Z)	X.Y	X.Z	X.Y+X.Z
0	0	0	0	0	0	0	0
0	0	1	1	0	0	0	0
0	1	0	1	0	0	0	0
0	1	1	1	0	0	0	0
1	0	0	0	0	0	0	0
1	0	1	1	1	0	1	1
1	1	0	1	1	1	0	1
1	1	1	1	1	1	1	1

(ii)

X	Y	Z	Y.Z	X+Y.Z	(X+Y)	(X+Z)	(X+Y).(X+Z)
0	0	0	0	0	0	0	0
0	0	1	0	0	0	1	0
0	1	0	0	0	1	0	0
0	1	1	1	1	1	1	1
1	0	0	0	1	1	1	1
1	0	1	0	1	1	1	1
1	1	0	0	1	1	1	1
1	1	1	1	1	1	1	1

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NCERT Solutions for Class 12 Help.html Computer Science With Python Chapter 11 Boolean Algebra

State Distributive Laws of Boolean Algebra and verify them using truth table.

(i) X. (Y+Z)= X.Y + X.Z
(ii) X + Y.Z= (X + Y). (X+Z)

Draw the Logic Circuit of the following Boolean Expression using only NAND Gates:
X.Y + Y.Z

Derive a Canonical SOP expression for a Boolean function F, represented by the following truth table:

U V W F(U,V,W)
0 0 0 1
0 0 1 0
0 1 0 1
0 1 1 1
1 0 0 0
1 0 1 0
1 1 0 1
1 1 1 0

Reduce the following Boolean Expression to its simplest form using K-Map:
F(X,Y,Z,W)= Σ (0,1,2,3,4,5,10,11,14)

State DeMorgan’s Laws of Boolean Algebra and verify them using truth table.

Draw the Logic Circuit of the following Boolean Expression using only NOR Gates:
( A+B).(C+D)

Derive a Canonical POS expression for a Boolean function G, represented by the following truth table:

X Y X G(X,Y,Z)
0 0 0 0
0 0 1 0
0 1 0 1
0 1 1 0
1 0 0 1
1 0 1 1
1 1 0 0
1 1 1 1

Reduce the following Boolean expression to its simplest form using K-Map:
E(U,V,Z,W)= Σ (2,3,6,8,9,10,11,12,13)

Verify the following using Boolean Laws.
A’+ B’.C = A’.B’.C’+ A’.B.C’+ A’.B.C + A’.B’.C+ A.B’.C

Write the Boolean Expression for the result of the Logic Circuit as shown below:

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NCERT Solutions for Class 12 Help.html Computer Science With Python Chapter 11 Boolean Algebra

State Distributive Laws of Boolean Algebra and verify them using truth table.(i) X. (Y+Z)= X.Y + X.Z (ii) X + Y.Z= (X + Y). (X+Z)

Draw the Logic Circuit of the following Boolean Expression using only NAND Gates:X.Y + Y.Z

Derive a Canonical SOP expression for a Boolean function F, represented by the following truth table:U V W F(U,V,W) 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0

Reduce the following Boolean Expression to its simplest form using K-Map:F(X,Y,Z,W)= Σ (0,1,2,3,4,5,10,11,14)

State DeMorgan’s Laws of Boolean Algebra and verify them using truth table.

Draw the Logic Circuit of the following Boolean Expression using only NOR Gates:( A+B).(C+D)

Derive a Canonical POS expression for a Boolean function G, represented by the following truth table: X Y X G(X,Y,Z) 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 1

Reduce the following Boolean expression to its simplest form using K-Map:E(U,V,Z,W)= Σ (2,3,6,8,9,10,11,12,13)

Verify the following using Boolean Laws.A’+ B’.C = A’.B’.C’+ A’.B.C’+ A’.B.C + A’.B’.C+ A.B’.C

Write the Boolean Expression for the result of the Logic Circuit as shown below:

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

State Distributive Laws of Boolean Algebra and verify them using truth table.

(i) X. (Y+Z)= X.Y + X.Z
(ii) X + Y.Z= (X + Y). (X+Z)

Draw the Logic Circuit of the following Boolean Expression using only NAND Gates:
X.Y + Y.Z

Derive a Canonical SOP expression for a Boolean function F, represented by the following truth table:

U V W F(U,V,W)
0 0 0 1
0 0 1 0
0 1 0 1
0 1 1 1
1 0 0 0
1 0 1 0
1 1 0 1
1 1 1 0

Reduce the following Boolean Expression to its simplest form using K-Map:
F(X,Y,Z,W)= Σ (0,1,2,3,4,5,10,11,14)

Draw the Logic Circuit of the following Boolean Expression using only NOR Gates:
( A+B).(C+D)

Derive a Canonical POS expression for a Boolean function G, represented by the following truth table:

X Y X G(X,Y,Z)
0 0 0 0
0 0 1 0
0 1 0 1
0 1 1 0
1 0 0 1
1 0 1 1
1 1 0 0
1 1 1 1

Reduce the following Boolean expression to its simplest form using K-Map:
E(U,V,Z,W)= Σ (2,3,6,8,9,10,11,12,13)

Verify the following using Boolean Laws.
A’+ B’.C = A’.B’.C’+ A’.B.C’+ A’.B.C + A’.B’.C+ A.B’.C