Sr Examen

Expresión xy||yz||(!z)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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