 Mathematics
Boolean Algebra
f-alpha.net » Mathematics » Algebra » Boolean Algebra » Let's go... » Experiment 5 - Commutative Law

# Experiment 5 - The Commutative Law

The commutative law states that you can interchange A and B of the AND and OR operation, without changing the result.

## AND Operation

 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)

## OR Operation

 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)
 Comparison Arithmetic - Boolean algebra The commutative law also applies to the addition and multiplication... $$x + y = y + x \quad\mbox{and}\quad x \times y = y \times x$$ Experiment 6 - Identity

### Social Media  