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Lógica matemática/ xv(y∧(x∨(¬z)))

Expresión xv(y∧(x∨(¬z)))

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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