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Mathematics
Boolean Algebra
f-alpha.net » Mathematics » Algebra » Boolean Algebra » Let's go... » Experiment 14 - Complementary Law

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

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