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Lógica matemática/ ¬c&a&¬bva&c

Expresión ¬c&a&¬bva&c

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    Solución

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