Chi Disappears
At work, Hideki is challenged by something Yumi said about persocoms taking the place of relationships with real people. The next day, Hideki has to study late and tells Chii to walk to work by herself. As Chii walks to work, something happens, and when Hideki gets home later, Chii is nowhere to be found!
Aired 14/08/2002EP 20 - Chi Disappears

Chobits
In the future, personal computers have developed into "Persocoms", mobile computers that look like human beings. Hideki Motosuwa, a prep school student, desperately wants to buy a Persocom but cannot afford to. One day he finds a Persocom that has been thrown away and decides to keep it. When he turns on the Persocom, all she can say is "Chii" so he decides to name her that. After a while it starts to become apparent that Chii is more than an average Persocom. Having much better performance, it seems that Chii might be a "Chobit", a type of advanced Persocom rumored to have independent thought.
(Source: Anime News Network)