Mathematical foundation of binary system ontology for data processing

The paper deals with theoretical principles that guarantee Boolean functional completeness of some primitive types of heterogeneous and homogeneous binary operational units designed for a logical data processing. Information in such units can be represented by various (different) physical parameters coding different states of physical objects. Simplest functionalities that define output “signals” (“output” parameters) as primitive functions of input “signals” (“input” parameters) are analyzed. It is shown that heterogeneous and homogeneous binary systems for data processing can be constructed on the basis of a general concept using proper object models based on General Formal Technological approach. It is shown that the homogeneous and heterogeneous binary information processing systems can be constructed based on the total (universal) basic ontology, which considers all physical objects as functional convert a certain set of physical parameters (physical properties in its broadest sense) in the other.