Sr Examen
Lógica matemática/ bd+bc+ac!d

Expresión bd+bc+ac!d

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

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