Mathematics
Boolean Algebra
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# Experiment 14 - The Complementary Law

## AND Operation

The complementary law of an AND operation reads...

$$A \wedge \neg A = 0$$

 Logic diagram complementary law of the AND operation. Logic circuit complementary law of an AND operation. (Enlarge)

## OR Operation

The complementary law of an OR operation reads...

$$A \vee \neg A = 1$$

 Logic diagram complementary law of the OR operation. Logic circuit complementary law of an OR operation. (Enlarge)
 Comparison Arithmetic - Boolean Algebra The complementary law applies to the addition... $$x + (-x) = 0$$ The complementary law does not apply to multiplication