Sr Examen

Expresión not(not(c)andnot(b)ora)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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