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## Simplifying logical circuits

Table of Contents

ToggleDo you take many circuits too complex? If do so, then you can simplify them.

### Simplifying by using Boolean algebra

The following rules apply for variables which are used in logical functions. The analogy to the electrical circuit should help you to work out these rules for yourself:

**First part: Signal a combined with a constant:**

#### Second part: **Variable combined with itsself**

#### Third part:** Commutative law**

#### Fourth part: **Associative rule**

The associative rule tells you how you can summarize single variables, which are linked to each other by, AND 'or' OR '. Summarized variables are indicated by parentheses.

#### Fifth part:** Distributive laws**

The Distributive laws specify how links relate to each other when parentheses are resolved (Law of distribution for calculating with parentheses).

#### Sixth part: **The rule of “de Morgan”**

The De Morgan's rules are used to transform logic circuits.