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(Scroll down to "Predictions".)
People communicate with their computers via two-way speech and gestures instead of with keyboards. Furthermore, most of this interaction occurs through computerized assistants with different personalities that the user can select or customize. Dealing with computers thus becomes more and more like dealing with a human being.
Household robots are ubiquitous.
Humans are beginning to have deep relationships with automated personalities, which hold some advantages over human partners. The depth of some computer personalities convinces some people that they should be accorded more rights. 
Natural human thinking possesses no advantages over computer minds.
The rise of Artificial Intelligence creates a real "robot rights" movement, and there is open, public debate over what sorts of civil rights and legal protections machines should have. The existence of humans with heavy levels of cybernetic augmentation and of larger numbers of other people with less extreme cybernetic implants lead to further arguments over what constitutes a "human being."
All within the next few decades