Sr Examen

Expresión yv~z>x

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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