Expresión ¬x1¬x2vx1¬x2x4vx1x2¬x3

Ha introducido [src]

((¬x1)∧(¬x2))∨(x1∧x2∧(¬x3))∨(x1∧x4∧(¬x2))

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

Solución detallada

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

Simplificación [src]

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

(x4∧(¬x2))∨((¬x1)∧(¬x2))∨(x1∧x2∧(¬x3))

Tabla de verdad

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

FNCD [src]

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

(x1∨(¬x2))∧((¬x2)∨(¬x3))∧(x2∨x4∨(¬x1))

FNC [src]

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

(x1∨(¬x2))∧(x2∨(¬x2))∧((¬x2)∨(¬x3))∧(x1∨x4∨(¬x1))∧(x1∨x4∨(¬x2))∧(x2∨x4∨(¬x1))∧(x2∨x4∨(¬x2))∧(x1∨(¬x1)∨(¬x2))∧(x2∨(¬x1)∨(¬x2))∧(x4∨(¬x1)∨(¬x3))∧(x4∨(¬x2)∨(¬x3))∧((¬x1)∨(¬x2)∨(¬x3))

FNDP [src]

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

(x4∧(¬x2))∨((¬x1)∧(¬x2))∨(x1∧x2∧(¬x3))

FND [src]

Ya está reducido a FND

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

(x4∧(¬x2))∨((¬x1)∧(¬x2))∨(x1∧x2∧(¬x3))

¿Cómo usar?

Expresiones idénticas

Expresión ¬x1¬x2vx1¬x2x4vx1x2¬x3

Solución