Sr Examen

Expresión yvzv!z&(xv!z)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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