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The idempotence applies to the AND operation... $$A \wedge A = A$$ 
Logical diagram idempotence of an AND operation. |
A logic circuit idempotence of an AND operation. (Enlarge) |
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The idempotence applies to the OR operation... $$A \vee A = A$$ 
Logical diagram idempotence of an OR operation. |
A logic circuit idempotence of an OR operation. (Enlarge) |
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Comparison Arithmetic - Boolean Algebra The idempotence does not apply to basic arithmetic! |
