Sr Examen

Expresión yvx¬yvy(xvz)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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