or

ask mattrab Visit www.askmattrab.com for more academic resources.

Complement Law

Complement

It states that when the sum is performed between a variable and its complement, the result is 1. Likewise, when a multiplication is performed between a variable and its complement, the result is zero.
i.e.,
➡ A + A' = 1
➡ A.A' = 0
Proof:


Hence, A + A' = 1 & A.A' = 0.