Check sibling questions

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

 

Are ads bothering you?

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.