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Lógica matemática/ XYvXYvZ

Expresión XYvXYvZ

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    Solución

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