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Lógica matemática/ ABCvAB!CvA!BCvA!B!Cv!ABC

Expresión ABCvAB!CvA!BCvA!B!Cv!ABC

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    Solución

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