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Lógica matemática/ a^bva^¬b^cv¬b^a^¬cva^¬c

Expresión a^bva^¬b^cv¬b^a^¬cva^¬c

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    Solución

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