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Lógica matemática/ (av¬bv((a&b)vc)v(a&(¬avb)))vbvc

Expresión (av¬bv((a&b)vc)v(a&(¬avb)))vbvc

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    Solución

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