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Lógica matemática/ xyz¬w+xy¬z¬w

Expresión xyz¬w+xy¬z¬w

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    Solución

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