Apparatus and methods are disclosed that enable writing data on, and reading data of, multi-state elements having greater than two states. The elements may be made of magnetoplastic and / or magnetoelastic materials, including, for example, magnetic shape-memory
alloy or other materials that couple magnetic and crystallographic states. The writing process is preferably conducted through the application of a
magnetic field and / or a mechanical action. The reading process is preferably conducted through atomic-force
microscopy, magnetic-force
microscopy, spin-polarized electrons,
magneto-optical
Kerr effect, optical
interferometry or other methods, or other methods / effects. The multifunctionality (crystallographic, magnetic, and shape states each representing a functionality) of the multi-state elements allows for simultaneous operations including read&write, sense&indicate, and sense&control. Embodiments of the invention may be used, for example, for storing, modifying, and accessing data for device, sensor,
actuator, logic and memory applications. Embodiments may be particularly effective for non-
volatile memory or other read&write, sense&indicate, and / or sense&control functions in computer or other applications; such simultaneous operation of two (or more) of said multiple functionalities open new pathways for
miniaturization of devices.