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Lógica matemática/ not((xvyz)&(notxvnotz))&xvynotz

Expresión not((xvyz)&(notxvnotz))&xvynotz

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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