Sr Examen

Expresión (сv(a&b&c))&¬b

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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