Expresión xz+¬((¬y+z)(¬x+¬y))+yz
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
$$\left(z \vee \neg y\right) \wedge \left(\neg x \vee \neg y\right) = \left(z \wedge \neg x\right) \vee \neg y$$
$$\neg \left(\left(z \vee \neg y\right) \wedge \left(\neg x \vee \neg y\right)\right) = y \wedge \left(x \vee \neg z\right)$$
$$\left(x \wedge z\right) \vee \left(y \wedge z\right) \vee \neg \left(\left(z \vee \neg y\right) \wedge \left(\neg x \vee \neg y\right)\right) = y \vee \left(x \wedge z\right)$$
$$y \vee \left(x \wedge z\right)$$
Tabla de verdad
+---+---+---+--------+
| x | y | z | result |
+===+===+===+========+
| 0 | 0 | 0 | 0 |
+---+---+---+--------+
| 0 | 0 | 1 | 0 |
+---+---+---+--------+
| 0 | 1 | 0 | 1 |
+---+---+---+--------+
| 0 | 1 | 1 | 1 |
+---+---+---+--------+
| 1 | 0 | 0 | 0 |
+---+---+---+--------+
| 1 | 0 | 1 | 1 |
+---+---+---+--------+
| 1 | 1 | 0 | 1 |
+---+---+---+--------+
| 1 | 1 | 1 | 1 |
+---+---+---+--------+
$$\left(x \vee y\right) \wedge \left(y \vee z\right)$$
Ya está reducido a FND
$$y \vee \left(x \wedge z\right)$$
$$\left(x \vee y\right) \wedge \left(y \vee z\right)$$
$$y \vee \left(x \wedge z\right)$$