Sr Examen

Expresión cv(ab)(¬a∨¬b)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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