Sr Examen

Expresión ¬AvA&B&C

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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