Sr Examen
Lógica matemática/ (xvyvz)(-xvyvz)(xv(-y)vz)

Expresión (xvyvz)(-xvyvz)(xv(-y)vz)

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

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