Sr Examen

Expresión ab¬c∨(c0)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

    Ha introducido [src]
    c0∨(a∧b∧(¬c))
    $$c_{0} \vee \left(a \wedge b \wedge \neg c\right)$$
    Simplificación [src]
    $$c_{0} \vee \left(a \wedge b \wedge \neg c\right)$$
    c0∨(a∧b∧(¬c))
    Tabla de verdad
    +---+---+---+----+--------+
    | a | b | c | c0 | result |
    +===+===+===+====+========+
    | 0 | 0 | 0 | 0  | 0      |
    +---+---+---+----+--------+
    | 0 | 0 | 0 | 1  | 1      |
    +---+---+---+----+--------+
    | 0 | 0 | 1 | 0  | 0      |
    +---+---+---+----+--------+
    | 0 | 0 | 1 | 1  | 1      |
    +---+---+---+----+--------+
    | 0 | 1 | 0 | 0  | 0      |
    +---+---+---+----+--------+
    | 0 | 1 | 0 | 1  | 1      |
    +---+---+---+----+--------+
    | 0 | 1 | 1 | 0  | 0      |
    +---+---+---+----+--------+
    | 0 | 1 | 1 | 1  | 1      |
    +---+---+---+----+--------+
    | 1 | 0 | 0 | 0  | 0      |
    +---+---+---+----+--------+
    | 1 | 0 | 0 | 1  | 1      |
    +---+---+---+----+--------+
    | 1 | 0 | 1 | 0  | 0      |
    +---+---+---+----+--------+
    | 1 | 0 | 1 | 1  | 1      |
    +---+---+---+----+--------+
    | 1 | 1 | 0 | 0  | 1      |
    +---+---+---+----+--------+
    | 1 | 1 | 0 | 1  | 1      |
    +---+---+---+----+--------+
    | 1 | 1 | 1 | 0  | 0      |
    +---+---+---+----+--------+
    | 1 | 1 | 1 | 1  | 1      |
    +---+---+---+----+--------+
    FND [src]
    Ya está reducido a FND
    $$c_{0} \vee \left(a \wedge b \wedge \neg c\right)$$
    c0∨(a∧b∧(¬c))
    FNCD [src]
    $$\left(a \vee c_{0}\right) \wedge \left(b \vee c_{0}\right) \wedge \left(c_{0} \vee \neg c\right)$$
    (a∨c0)∧(b∨c0)∧(c0∨(¬c))
    FNDP [src]
    $$c_{0} \vee \left(a \wedge b \wedge \neg c\right)$$
    c0∨(a∧b∧(¬c))
    FNC [src]
    $$\left(a \vee c_{0}\right) \wedge \left(b \vee c_{0}\right) \wedge \left(c_{0} \vee \neg c\right)$$
    (a∨c0)∧(b∨c0)∧(c0∨(¬c))