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Lógica matemática/ ¬xvyzn

Expresión ¬xvyzn

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⌨

    Solución

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