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Lógica matemática/ (a&¬b)v(b&¬c)v(c&¬a)v(a&b&c)

Expresión (a&¬b)v(b&¬c)v(c&¬a)v(a&b&c)

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    Solución

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