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Lógica matemática/ avb&¬(a&b&c)

Expresión avb&¬(a&b&c)

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    Solución

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