Sr Examen

Expresión c∧((¬a)v(¬b))∧((¬a)v(¬d))∧(a∧(¬c)∧d)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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