Abstract: When the size of electric elements or cells of a system reduce to nanometer, the quantum laws must act on its way. A binary digit of just getting by this kind of systems corresponds to a micro-state of it. The complexity of micro-states can be defined by the bits of binary digits. From different forms of incommutable algebra. We got several expressions of micro-digital states. However an appropriate incommutable algebra must be selected by experiments. In addition, we may link the quasi-charges of a state with the energy levels of the micro-system, so the quasi-charge becomes an observed physical quantity, and we can analyze them in quantities by means of physical methods.

Key words: micro-system, incommutable algebra, quasi-charge