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Boolean Algebra - Laws




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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.