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Lógica matemática/ xy∨y¬z∨¬z

Expresión xy∨y¬z∨¬z

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    Solución

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