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Lógica matemática/ x*¬yv¬x&y*zvx*z

Expresión x*¬yv¬x&y*zvx*z

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    Solución

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