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Lógica matemática/ avbv¬b*c*dv¬b*¬c*¬dv¬b*¬c*d

Expresión avbv¬b*c*dv¬b*¬c*¬dv¬b*¬c*d

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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