Sr Examen

Expresión ¬((AvB)&C)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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