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Lógica matemática/ avb&(avc&b)

Expresión avb&(avc&b)

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    Solución

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