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Lógica matemática/ xy∨xz∨¬x¬yz

Expresión xy∨xz∨¬x¬yz

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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