In the following experiments you get to know the different rules of the AND and OR operation. The rules are also called axioms.

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

The $$A \wedge B = B \wedge A$$ |

The $$A \vee B = B \vee A$$ |

Comparison Arithmetic - Boolean algebra
The commutative law also applies to the $$x + y = y + x \quad\mbox{and}\quad x \times y = y \times x$$ |