Sr Examen

Expresión x&y∨x¬(y)&z∨not(y)&x¬(z)∨x¬(z)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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