Sr Examen

Expresión y+(z+x)(x+y)+x(y+z)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

    Ha introducido [src]
    y∨(x∧(y∨z))∨((x∨y)∧(x∨z))
    y(x(yz))((xy)(xz))y \vee \left(x \wedge \left(y \vee z\right)\right) \vee \left(\left(x \vee y\right) \wedge \left(x \vee z\right)\right)
    Solución detallada
    (xy)(xz)=x(yz)\left(x \vee y\right) \wedge \left(x \vee z\right) = x \vee \left(y \wedge z\right)
    y(x(yz))((xy)(xz))=xyy \vee \left(x \wedge \left(y \vee z\right)\right) \vee \left(\left(x \vee y\right) \wedge \left(x \vee z\right)\right) = x \vee y
    Simplificación [src]
    xyx \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      |
    +---+---+---+--------+
    FNCD [src]
    xyx \vee y
    x∨y
    FNDP [src]
    xyx \vee y
    x∨y
    FND [src]
    Ya está reducido a FND
    xyx \vee y
    x∨y
    FNC [src]
    Ya está reducido a FNC
    xyx \vee y
    x∨y