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Lógica matemática/ ¬a*b*¬c+¬a*b*c+a*¬b*c+a*b*¬c+a*b*c

Expresión ¬a*b*¬c+¬a*b*c+a*¬b*c+a*b*¬c+a*b*c

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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