The commutative law states that you can interchange A and B of the AND and OR operation, without changing the result.
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The commutative law of an AND operation with two variables is... $$A \wedge B = B \wedge A$$ |
Logical diagram commutative law of an AND operation. |
Logical circuit commutative_law of an AND operation I. (Enlarge) |
Logical circuit commutative_law of an AND operation II. (Enlarge) |
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The commutative law of an OR operation with two variables is... $$A \vee B = B \vee A$$ |
Logical diagram commutative law of an OR operation. |
Logical circuit commutative_law of an OR operation I. (Enlarge) |
Logical circuit commutative_law of an OR operation II. (Enlarge) |
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Comparison Arithmetic - Boolean algebra The commutative law also applies to the addition and multiplication... $$x + y = y + x \quad\mbox{and}\quad x \times y = y \times x$$ |
