Sr Examen

Expresión ava&c(avb)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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