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Expresión abcv¬abcv¬a¬bc

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    Solución

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