A multi-bit spin torque magnetic element that has a ferromagnetic pinned
layer having a pinned magnetization orientation, a non-magnetic layer,
and a ferromagnetic free layer having a magnetization orientation
switchable among at least four directions, the at least four directions
being defined by a physical shape of the free layer. The magnetic element
has at least four distinct resistance states. Magnetic elements with at
least eight magnetization directions are also provided.