Introduction aux Fonctions Logiques

Introduction to Basic Logic Functions

• Logic functions are used to simplify electrical circuits
• Boolean algebra is used as a basis for these functions
• The basis is two numerical values 0 and 1

Who is George Boole?

• George Boole was an English mathematician, philosopher, and logician.
• He was born in 1815 and died in 1864.
• He is considered the founder of modern logic.
• He developed a binary algebra using the values 0 and 1

Boolean Concepts

• Binary Variables:
  • A binary variable can have only two possible states: true/false, on/off, present/absent, etc.
  • These states are represented by 0 and 1.
  • Examples include a lamp being on or off, a switch being on or off.

Basic Logic Functions

• NOT function:
  • Inverts the input. If input is 0, output is 1; if input is 1, output is 0.
• AND function (conjunction):
  • Output is 1 only if all inputs are 1. Otherwise it's 0.
• OR function (disjunction):
  • Output is 1 if any of the inputs are 1. Only if all inputs are 0, output is 0.
• OR function (exclusive OR):
  • Output is 1 if only one of the inputs is 1. If both inputs are 1 or both are 0, output is 0.

Diagrams and Representations

• Electrical Diagrams: Visual representations of circuits using standardized symbols.
• Truth Tables: Tables showing all possible input combinations and corresponding outputs for a logic function.
• Logic Symbols (Boolean Symbols): Standardized graphical representations of logic functions.

Additional Notes

• There are various types of expressions relating to logical functions.
• Tables of truth values are given for different functions as illustrations.
• There are examples and exercises for practice.

Ce quiz porte sur les fonctions logiques de base, incluant les concepts d'algèbre booléenne et les variables binaires. Vous y découvrirez également l'importance de George Boole dans le développement de la logique moderne. Testez vos connaissances sur les fonctions NOT, AND et OR.