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**Home ⇒ Overview Courses ⇒ PLC ⇒ Simplification of Logic Circuits**

## Simplifying logical circuits

Do 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.

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