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Lógica matemática/ xyz∨xy¬z∨¬z

Expresión xyz∨xy¬z∨¬z

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    Solución

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