Sr Examen

Expresión (¬bva)&(avb)&(¬avc)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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