Sr Examen

Expresión ava&bva&b&cva&d&f

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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