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Lógica matemática/ yzvxz

Expresión yzvxz

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    Solución

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