12th Computer Science CBSE

Important Law of Boolean algebra with Best concepts

Boolean Algebra Laws
Written by AIPS

In this topic we shall learn about Important Law of Boolean Algebra with Best concepts. It is very important to solve any question of Boolean Algebra.

Identity Law
  1. 0+A=A
  2. 1+A=1
  3. 0.A=0
  4. 1.A=A
1A1.A
100
111
Proved using Truth Table 1.A=A
Inverse(Complementary) Law
  1. A+A’=1
  2. A.A’=0
AA’A+A’
011
101
Proved using truth table A+A’=1

Idempotent Law

  1. A+A=A
  2. A.A=A

Commutative Law

  1. A+B=B+A
  2. A.B=B.A

Associative Law

  1. A + (B+C)=(A+B)+C
  2. A . (B.C)= (A.B).C

Distributive Law

  1. A.(B+C)=AB+AC
  2. A+(B.C)=(A+B).(A+C)

Absorption Law

  1. A+A.B=A
  2. A.(A+B)=A

Involution (Double Inversion) Law

A’ ‘ =A

To be continued… Please check daily for more updates..

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