Expresión ¬X1X2∨X1¬X2
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
$$\left(x_{1} \wedge \neg x_{2}\right) \vee \left(x_{2} \wedge \neg x_{1}\right)$$
Tabla de verdad
+----+----+--------+
| x1 | x2 | result |
+====+====+========+
| 0 | 0 | 0 |
+----+----+--------+
| 0 | 1 | 1 |
+----+----+--------+
| 1 | 0 | 1 |
+----+----+--------+
| 1 | 1 | 0 |
+----+----+--------+
$$\left(x_{1} \wedge \neg x_{2}\right) \vee \left(x_{2} \wedge \neg x_{1}\right)$$
Ya está reducido a FND
$$\left(x_{1} \wedge \neg x_{2}\right) \vee \left(x_{2} \wedge \neg x_{1}\right)$$
$$\left(x_{1} \vee x_{2}\right) \wedge \left(\neg x_{1} \vee \neg x_{2}\right)$$
$$\left(x_{1} \vee x_{2}\right) \wedge \left(x_{1} \vee \neg x_{1}\right) \wedge \left(x_{2} \vee \neg x_{2}\right) \wedge \left(\neg x_{1} \vee \neg x_{2}\right)$$
(x1∨x2)∧(x1∨(¬x1))∧(x2∨(¬x2))∧((¬x1)∨(¬x2))