Sr Examen

Expresión ¬x ∨ y ∨ (¬z ∧ w)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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