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Lógica matemática/ xyz∨xy¬z∨x¬yz∨¬xyz

Expresión xyz∨xy¬z∨x¬yz∨¬xyz

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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