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Lógica matemática/ cdv¬c¬bv¬db

Expresión cdv¬c¬bv¬db

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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