Boolean Algebra Laws

Front

Definition of Idempotent Law

Back

A + A = A and A · A = A

Front

Definition of Distributive Law

Back

A · (B + C) = A · B + A · C

Front

True or False: A + 0 = A

Back

True

Front

True or False: A · 1 = 0

Back

False

Front

Definition of Complement Law

Back

A + A̅ = 1 and A · A̅ = 0

Front

Definition of Identity Law

Back

A + 0 = A and A · 1 = A

Front

True or False: A + 1 = 1

Back

True

Front

True or False: A · 0 = A

Back

False

Front

Definition of Absorption Law

Back

A + (A · B) = A and A · (A + B) = A

Front

Definition of De Morgan's Theorems

Back

A̅ · B̅ = A̅ + B̅ and A̅ + B̅ = A̅ · B̅