Sr Examen

Expresión ¬(A&B&C)v(B&Cv¬A)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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