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Operaciones booleanas

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Práctica expresiones booleanas.

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Operaciones booleanas
 

Operaciones booleanasOnline version

Práctica expresiones booleanas.

by jose mauricio guevara valencia
1

Los operadores booleanos

Mauricio Guevara Valencia

2

Introducción a las operaciones booleanas

Las operaciones booleanas trabajan con dos valores: Verdadero y Falso, representados por 1 y 0. Se usan para decisiones lógicas en programas y circuitos.

3

Operaciones booleanas

NOT invierte un valor: si A es verdadero, NOT A es falso, y viceversa. Se escribe como ¬A o NOT A.

4

AND (conjunción)

AND (Y) es verdadero solo si todas las entradas son verdaderas. Tabla de verdad breve: 1 AND 1 = 1; 1 AND 0 = 0; 0 AND 1 = 0; 0 AND 0 = 0.

5

OR (disyunción)

OR (O) es verdadero si al menos una entrada es verdadera. Tabla de verdad: 1 OR 1 = 1; 1 OR 0 = 1; 0 OR 1 = 1; 0 OR 0 = 0.

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XOR (exclusivo)

XOR devuelve verdadero cuando exactamente una entrada es verdadera. 1 XOR 0 = 1; 0 XOR 1 = 1; 1 XOR 1 = 0; 0 XOR 0 = 0.

7

Leyes de De Morgan

De Morgan muestran cómo negar expresiones: NOT (A AND B) = NOT A OR NOT B; NOT (A OR B) = NOT A AND NOT B.

8

Identidades útiles

Identidades útiles: A AND 1 = A; A OR 0 = A; A OR 1 = 1; A AND 0 = 0.

9

Tablas de verdad

Una tabla de verdad resume todas las combinaciones posibles de valores para una expresión booleana y su resultado.

10

Aplicaciones prácticas

Se usan en filtros, búsquedas, condicionales de programación y en circuitos lógicos.

11

Resumen y práctica

Practica creando expresiones simples y verifica sus tablas de verdad. Empieza con dos variables y añade más conforme avances.

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