Basic linear elements of k-Valued digital structures

The nonclassical approach to a logic synthesis of k-valued digital structures is considered. It is based on replacing the classical body of mathematics of the logic synthesis (Boolean algebra) – linear algebra. The features of the circuit implementation of operations of linear algebra necessitate going from the potential signals to the current ones. In particular, the new approach is developed, using linear operations, to give forms to initial linear logic structures, from which any logic elements can be further built. The paper considers the circuitry of the corresponding current logic elements of k-valued logics, realized on the base of classical technologies for practical use in the analog-digital interfaces and sensor systems.