Based on Purpose?

1.General Purpose:-

 A general-purpose computer is one that, given the appropriate application and required time, should be able to perform most common computing tasks. Personal computers, including desktops, notebooks, smartphones and tablets, are all examples of general-purpose computers. 

2.Special Pirpose:-

Special-Purpose Computers

As the name states, a Special-Purpose Computer is designed to be task-specific and most of the time their job is to solve one particular problem. They are also known as dedicated computers because they have been dedicated to performing a single task over and over again.