Sr Examen

Expresión bd+(!a)b+bc+(!c)ba

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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