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