Sr Examen
Lógica matemática/ xyzv(-x)yzvx(-y)z

Expresión xyzv(-x)yzvx(-y)z

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

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