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Lógica matemática/ (avbvc)&avbvc

Expresión (avbvc)&avbvc

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    Solución

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