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Lógica matemática/ x(-z)vy(-z)

Expresión x(-z)vy(-z)

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    Solución

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