Expresión x1(x2∨x3∨x6)(x3∨x6)(x4∨x3∨x5)(x5∨x1∨x2)(x6∨x4)

Ha introducido [src]

x1∧(x3∨x6)∧(x4∨x6)∧(x1∨x2∨x5)∧(x2∨x3∨x6)∧(x3∨x4∨x5)

$$x_{1} \wedge \left(x_{3} \vee x_{6}\right) \wedge \left(x_{4} \vee x_{6}\right) \wedge \left(x_{1} \vee x_{2} \vee x_{5}\right) \wedge \left(x_{2} \vee x_{3} \vee x_{6}\right) \wedge \left(x_{3} \vee x_{4} \vee x_{5}\right)$$

Solución detallada

$$x_{1} \wedge \left(x_{3} \vee x_{6}\right) \wedge \left(x_{4} \vee x_{6}\right) \wedge \left(x_{1} \vee x_{2} \vee x_{5}\right) \wedge \left(x_{2} \vee x_{3} \vee x_{6}\right) \wedge \left(x_{3} \vee x_{4} \vee x_{5}\right) = x_{1} \wedge \left(x_{3} \vee x_{6}\right) \wedge \left(x_{4} \vee x_{6}\right) \wedge \left(x_{3} \vee x_{4} \vee x_{5}\right)$$

Simplificación [src]

$$x_{1} \wedge \left(x_{3} \vee x_{6}\right) \wedge \left(x_{4} \vee x_{6}\right) \wedge \left(x_{3} \vee x_{4} \vee x_{5}\right)$$

x1∧(x3∨x6)∧(x4∨x6)∧(x3∨x4∨x5)

Tabla de verdad

+----+----+----+----+----+----+--------+
| x1 | x2 | x3 | x4 | x5 | x6 | result |
+====+====+====+====+====+====+========+
| 0  | 0  | 0  | 0  | 0  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 0  | 0  | 0  | 0  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 0  | 0  | 0  | 1  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 0  | 0  | 0  | 1  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 0  | 0  | 1  | 0  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 0  | 0  | 1  | 0  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 0  | 0  | 1  | 1  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 0  | 0  | 1  | 1  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 0  | 1  | 0  | 0  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 0  | 1  | 0  | 0  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 0  | 1  | 0  | 1  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 0  | 1  | 0  | 1  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 0  | 1  | 1  | 0  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 0  | 1  | 1  | 0  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 0  | 1  | 1  | 1  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 0  | 1  | 1  | 1  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 1  | 0  | 0  | 0  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 1  | 0  | 0  | 0  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 1  | 0  | 0  | 1  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 1  | 0  | 0  | 1  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 1  | 0  | 1  | 0  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 1  | 0  | 1  | 0  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 1  | 0  | 1  | 1  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 1  | 0  | 1  | 1  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 1  | 1  | 0  | 0  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 1  | 1  | 0  | 0  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 1  | 1  | 0  | 1  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 1  | 1  | 0  | 1  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 1  | 1  | 1  | 0  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 1  | 1  | 1  | 0  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 1  | 1  | 1  | 1  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 0  | 1  | 1  | 1  | 1  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 1  | 0  | 0  | 0  | 0  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 1  | 0  | 0  | 0  | 0  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 1  | 0  | 0  | 0  | 1  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 1  | 0  | 0  | 0  | 1  | 1  | 1      |
+----+----+----+----+----+----+--------+
| 1  | 0  | 0  | 1  | 0  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 1  | 0  | 0  | 1  | 0  | 1  | 1      |
+----+----+----+----+----+----+--------+
| 1  | 0  | 0  | 1  | 1  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 1  | 0  | 0  | 1  | 1  | 1  | 1      |
+----+----+----+----+----+----+--------+
| 1  | 0  | 1  | 0  | 0  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 1  | 0  | 1  | 0  | 0  | 1  | 1      |
+----+----+----+----+----+----+--------+
| 1  | 0  | 1  | 0  | 1  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 1  | 0  | 1  | 0  | 1  | 1  | 1      |
+----+----+----+----+----+----+--------+
| 1  | 0  | 1  | 1  | 0  | 0  | 1      |
+----+----+----+----+----+----+--------+
| 1  | 0  | 1  | 1  | 0  | 1  | 1      |
+----+----+----+----+----+----+--------+
| 1  | 0  | 1  | 1  | 1  | 0  | 1      |
+----+----+----+----+----+----+--------+
| 1  | 0  | 1  | 1  | 1  | 1  | 1      |
+----+----+----+----+----+----+--------+
| 1  | 1  | 0  | 0  | 0  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 1  | 1  | 0  | 0  | 0  | 1  | 0      |
+----+----+----+----+----+----+--------+
| 1  | 1  | 0  | 0  | 1  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 1  | 1  | 0  | 0  | 1  | 1  | 1      |
+----+----+----+----+----+----+--------+
| 1  | 1  | 0  | 1  | 0  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 1  | 1  | 0  | 1  | 0  | 1  | 1      |
+----+----+----+----+----+----+--------+
| 1  | 1  | 0  | 1  | 1  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 1  | 1  | 0  | 1  | 1  | 1  | 1      |
+----+----+----+----+----+----+--------+
| 1  | 1  | 1  | 0  | 0  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 1  | 1  | 1  | 0  | 0  | 1  | 1      |
+----+----+----+----+----+----+--------+
| 1  | 1  | 1  | 0  | 1  | 0  | 0      |
+----+----+----+----+----+----+--------+
| 1  | 1  | 1  | 0  | 1  | 1  | 1      |
+----+----+----+----+----+----+--------+
| 1  | 1  | 1  | 1  | 0  | 0  | 1      |
+----+----+----+----+----+----+--------+
| 1  | 1  | 1  | 1  | 0  | 1  | 1      |
+----+----+----+----+----+----+--------+
| 1  | 1  | 1  | 1  | 1  | 0  | 1      |
+----+----+----+----+----+----+--------+
| 1  | 1  | 1  | 1  | 1  | 1  | 1      |
+----+----+----+----+----+----+--------+

FND [src]

$$\left(x_{1} \wedge x_{3} \wedge x_{4}\right) \vee \left(x_{1} \wedge x_{3} \wedge x_{6}\right) \vee \left(x_{1} \wedge x_{4} \wedge x_{6}\right) \vee \left(x_{1} \wedge x_{5} \wedge x_{6}\right) \vee \left(x_{1} \wedge x_{3} \wedge x_{4} \wedge x_{5}\right) \vee \left(x_{1} \wedge x_{3} \wedge x_{4} \wedge x_{6}\right) \vee \left(x_{1} \wedge x_{3} \wedge x_{5} \wedge x_{6}\right) \vee \left(x_{1} \wedge x_{4} \wedge x_{5} \wedge x_{6}\right)$$

(x1∧x3∧x4)∨(x1∧x3∧x6)∨(x1∧x4∧x6)∨(x1∧x5∧x6)∨(x1∧x3∧x4∧x5)∨(x1∧x3∧x4∧x6)∨(x1∧x3∧x5∧x6)∨(x1∧x4∧x5∧x6)

FNC [src]

Ya está reducido a FNC

$$x_{1} \wedge \left(x_{3} \vee x_{6}\right) \wedge \left(x_{4} \vee x_{6}\right) \wedge \left(x_{3} \vee x_{4} \vee x_{5}\right)$$

x1∧(x3∨x6)∧(x4∨x6)∧(x3∨x4∨x5)

FNCD [src]

$$x_{1} \wedge \left(x_{3} \vee x_{6}\right) \wedge \left(x_{4} \vee x_{6}\right) \wedge \left(x_{3} \vee x_{4} \vee x_{5}\right)$$

x1∧(x3∨x6)∧(x4∨x6)∧(x3∨x4∨x5)

FNDP [src]

$$\left(x_{1} \wedge x_{3} \wedge x_{4}\right) \vee \left(x_{1} \wedge x_{3} \wedge x_{6}\right) \vee \left(x_{1} \wedge x_{4} \wedge x_{6}\right) \vee \left(x_{1} \wedge x_{5} \wedge x_{6}\right)$$

(x1∧x3∧x4)∨(x1∧x3∧x6)∨(x1∧x4∧x6)∨(x1∧x5∧x6)

¿Cómo usar?

Expresiones idénticas

Expresión x1(x2∨x3∨x6)(x3∨x6)(x4∨x3∨x5)(x5∨x1∨x2)(x6∨x4)

Solución