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Lógica matemática/ ¬x*¬y*z+x*¬y

Expresión ¬x*¬y*z+x*¬y

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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