Sr Examen

Expresión cv(¬a&¬b)&(avb)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

    Ha introducido [src]
    c∨((¬a)∧(¬b)∧(a∨b))
    $$c \vee \left(\neg a \wedge \neg b \wedge \left(a \vee b\right)\right)$$
    Solución detallada
    $$\neg a \wedge \neg b \wedge \left(a \vee b\right) = \text{False}$$
    $$c \vee \left(\neg a \wedge \neg b \wedge \left(a \vee b\right)\right) = c$$
    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
    FNCD [src]
    $$c$$
    c
    FNC [src]
    Ya está reducido a FNC
    $$c$$
    c