Expresión dbordnotcornotbcornotcb
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Solución
Solución detallada
$$\left(b \wedge d\right) \vee \left(b \wedge \neg c\right) \vee \left(c \wedge \neg b\right) \vee \left(d \wedge \neg c\right) = d \vee \left(b \wedge \neg c\right) \vee \left(c \wedge \neg b\right)$$
$$d \vee \left(b \wedge \neg c\right) \vee \left(c \wedge \neg b\right)$$
Tabla de verdad
+---+---+---+--------+
| b | c | d | 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 | 0 |
+---+---+---+--------+
| 1 | 1 | 1 | 1 |
+---+---+---+--------+
Ya está reducido a FND
$$d \vee \left(b \wedge \neg c\right) \vee \left(c \wedge \neg b\right)$$
$$\left(b \vee c \vee d\right) \wedge \left(b \vee d \vee \neg b\right) \wedge \left(c \vee d \vee \neg c\right) \wedge \left(d \vee \neg b \vee \neg c\right)$$
(b∨c∨d)∧(b∨d∨(¬b))∧(c∨d∨(¬c))∧(d∨(¬b)∨(¬c))
$$d \vee \left(b \wedge \neg c\right) \vee \left(c \wedge \neg b\right)$$
$$\left(b \vee c \vee d\right) \wedge \left(d \vee \neg b \vee \neg c\right)$$