Mathematics
Boolean Algebra
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# Experiment 9 - Computation Rules of the Boolean Algebra

## Priority Rule

The order of the logic operations is...

• The NOT operator is executed before all other operators.
• The AND operator is executed before the OR operator.

The formulas and logic diagram illustrate this...

 $$\neg A \wedge B$$ $$A \wedge B \vee C$$
 Logic diagram priority rule NOT operator. Logic diagram priority rule AND operator.

## Bracket Rule

In order to change the priority of the operator you use brackets. The operators enclosed by two brackets have priority...

 $$\neg (A \wedge B)$$ $$A \wedge (B \vee C)$$
 Logic diagram bracket rule NOT operator. Logic diagram bracket rule AND operator.
 Comparison Arithmetic - Boolean algebra The priority rule also applies to the basic arithmetic operations, since the multiplication is executed before the addition. With bracket you also change the priority ...