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Lógica matemática/ XvX∙YvX∙Z

Expresión XvX∙YvX∙Z

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    Solución

    Ha introducido [src] 
    x∨(x∧y)∨(x∧z)
    $$x \vee \left(x \wedge y\right) \vee \left(x \wedge z\right)$$
    Solución detallada
    $$x \vee \left(x \wedge y\right) \vee \left(x \wedge z\right) = x$$
    Simplificación [src]
    $$x$$ 
    x
    Tabla de verdad 
    +---+---+---+--------+
| x | y | z | result |
+===+===+===+========+
| 0 | 0 | 0 | 0      |
+---+---+---+--------+
| 0 | 0 | 1 | 0      |
+---+---+---+--------+
| 0 | 1 | 0 | 0      |
+---+---+---+--------+
| 0 | 1 | 1 | 0      |
+---+---+---+--------+
| 1 | 0 | 0 | 1      |
+---+---+---+--------+
| 1 | 0 | 1 | 1      |
+---+---+---+--------+
| 1 | 1 | 0 | 1      |
+---+---+---+--------+
| 1 | 1 | 1 | 1      |
+---+---+---+--------+
    FNC [src]
    Ya está reducido a FNC
    $$x$$ 
    x
    FNCD [src]
    $$x$$ 
    x
    FND [src]
    Ya está reducido a FND
    $$x$$ 
    x
    FNDP [src]
    $$x$$ 
    x
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