Sr Examen

Expresión ¬x∨yz∨xy∨¬x∧¬y∨¬y∨xz

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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