- PLC
- What is a PLC
- Analog and Digital
- PLC Programming Languages
- Basic Logic Functions
- Combinatorial Logic
- wire break detection
- Algebraic Simplification of Logic Circuits
- Karnaugh map
- PLC Exercises I
- PLC-exercises II – boolean algebra
- PLC exercise – Tank level monitoring
- Work Order PLC Material detection
- How a PLC works
- PLC function Set and Reset
- PLC-Program for H-Bridge
- Sequence control
- Analog value processing
- Number Systems
- Videos about PLC
- Index PLC

(Deutsch)

## 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.