Sr Examen

Expresión !(x&!yvz)&!(yv!z)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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