Sr Examen

Expresión not(x*y)+not(x*z)+not(y*not(z))

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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