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Lógica matemática/ (avb)&a&a&b&(avc)&(cvd)&e&(dve)

Expresión (avb)&a&a&b&(avc)&(cvd)&e&(dve)

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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