Sr Examen

Expresión dva&b&c&(¬bv¬c)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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