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Lógica matemática/ a&b&(b&cv(!c))va&c(a&b)

Expresión a&b&(b&cv(!c))va&c(a&b)

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    Solución

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