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Lógica matemática/ (A+B+AB+AC+BC)(A+B+C)

Expresión (A+B+AB+AC+BC)(A+B+C)

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    Solución

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