Sr Examen

Expresión cva&b+¬a&b&c

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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