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