A portable computer system is provided having a base unit and a detachable display unit. The display unit can be attached to and supported by the base unit in a landscape orientation or a portrait orientation via one or more connectors provided on two different sides of the display unit. The base unit may include support pins providing physical support to the display unit. Alternatively, the base unit may include a support arm which attaches to and slides within a slot extending along two sides of the display unit, such that the display unit can be moved between landscape and portrait orientations.