A handheld computer comprises a housing and a cover removably connected thereto by a universal hinge assembly. The universal hinge assembly includes a tubular member or arm having a proximal end fixedly (non-rotatably) secured to an edge of the cover and a distal end pivotally coupled to an edge of the cover. The pivotal coupling may comprise a ball and socket arrangement, a pin and slot arrangement, or any other type of coupling arrangement that enables universal pivoting movement and releasable attachment between the cover and the housing. The cover may include a cushion designed to abut a display screen mounted in the housing when the cover is in a closed position. A method of reconfiguring an encasement of a handheld computer having a cover releasably coupled thereto includes removing the first cover and replacing it with a second cover of a different type.