Grinenko V. Structural synthesis of components of the digital systems on the basis of binomial numbers

A research object is processes of synthesis of noise-immunity components of the digital systems. A research purpose is development of synthesis methods and estimation of the digital systems components on the basis of binomial numbers that needs for improve noise-immunity and speed of information processing. The researches methods are based on simulation techniques, information theory, theory of the noise-immune coding, theory of digital automatic device, theory of combinations, theory probability. Theoretical and practical results are the decision of actual theoretical and practical tasks that related to the increase of noise-immunity and speed of information processing in digital devices that based on binomial numbers. Scientific innovations: 1) the method of analysis of noise-immunity and selection parameters binomial codes is offered first, which includes the calculation of probability of errors depending on the parameters of the binomial number system; 2) the method of the modified binomial codes construction is offered first, which used the selection of binomial numbers with the adjusted amount of units; 3) the methods of encoding, decoding and count of combinations of the modified binomial code, in which an intermediate binomial code used for the construction of code combinations, are developed first; 4) the method of synthesis of serial binomial counters is improved which utilized decoding of the counter states in place of digit-by-digit summators. The scientific and practical results are introduced at "Preobrazovatel" and at department of electronics and computer technics of the Sumy state university. Scope - in organizations, engaged in the problems of development of digital devices with the high level of noise-immunity, and also in an educational process at training of specialists in area of the digital systems development.