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Lógica matemática/ acbvnotc

Expresión acbvnotc

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    Solución

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