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Lógica matemática/ bd+ad+¬bc¬d

Expresión bd+ad+¬bc¬d

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

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