Sr Examen
Lógica matemática/ xyz+xy¬z+y¬z+xy+xyzz

Expresión xyz+xy¬z+y¬z+xy+xyzz

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

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