Boolean Algebra - Laws

Last updated at April 16, 2024 by

Boolean Algebra - Laws

LAW

AND

OR

Commutative law

A.B = B.A

A+B = B+A

Associative law

A.(B.C) = (A.B).C

A+(B+C) = (A+B)+C

Distributive law

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

A+(B.C) = (A+B).(A+C) 

Identity law

A.1 = A

A+0 = A

Idempotent law

A.A = A

A+A = A

Complement law

A.A’ = 0

A+A’ = 1

Annulment law

A.0 = 0

A+1 = 1

DeMorgan’s law

(AB)’ = A’ + B'

(A+B)’ = A’.B’

Absorption law

A.(A+B) = A

A+(A.B) = A

Double Negation or inversion law

(A’)’ = A 

 

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Davneet Singh

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