Question 15 - 2 or 3 Mark Questions - Chapter 12 Class 11 - Boolean Algebra

Last updated at Dec. 13, 2024 by

State Distributive law and verify it using truth table.

 

Answer:

There are two Distributive laws:   

(i) A.(B+C) =(A.B) + (A.C)

(ii) A+(B.C) = (A+B).(A+C)

Proof:

(i)

A

B

C

B+C

A.(B+C)

A.B

A.C

(A.B)+(A.C)

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)

A

B

C

B.C

A+(B.C)

A+B

A+C

(A+B).(A+C)

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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo