Logic operations: Possibilities for the optimisation of logic interconnections

Question:
How can complicated logic operations (AND, OR, NOT, ...) be simplified and optimised?

Answer:
Older and current inverter device series offer the possibility to realise logic connections by interconnecting function blocks for logic operations (NOT, OR, AND, ...). 
It is also possible to realise logic interconnections via programming language.

For various reasons, it makes sense to simplify logic circuits as much as possible before realising them:
  • The possibly limited number of available function blocks (FB) recommends 'resource-saving' handling.
  • A simple logic circuit is easier to understand and follow.
  • The simplest possible logic is also advantageous for implementation via programming language.
Links from AND and NOT, for example, can be converted into links from OR and NOT (conversion of the normal forms), with the same function. Procedure:
  1. insert an additional NOT at all inputs and outputs of the operator OR or AND. 2.
  2. two NOTs in a row cancel each other out and are thus omitted (if a NOT is already present).
  3. an AND becomes an OR and vice versa.
In the appendix you will find tips on how to optimise logic operations according to Karnaugh's method.


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