A watch for providing a digital time display comprises a movement mechanism disposed in a case that includes a number of continuous belts. The belts each have a numerical indicia consistent with hours, minutes and optionally second. The belts mounted over opposed drums, and the drums are rotated through gear engagement motors to move the belts. The arrangement of belts and drums are mounted on a frame separate from the case. The motors are operated to move the belts to cause the numerical indicia of the combined belts to register with one or more windows visible through a transparent cover to provide a time display. The belts may be oriented to overlap one another. The watch includes a microcontroller for controlling the operation of the motors, an optical sensor to determining the position of the belts, and a wirelessly rechargeable battery pack for powering the motors.