24 Computer -- Number System and Conversion Boolean Logic

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Complement Law

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.

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