Sr Examen

Expresión ava&bvb&cv¬a&c

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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