Sr Examen

Expresión BD+B(!C)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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