Petrov V. Methods and models of digital devices' components construction on basis of matrix binomial numbers

Scientific and applied problem of synthesis models and methods develop-ment of high-speed digital devices' components with noise immunity on basis of matrix binomial numbers is solved in the thesis. For the first time a noise immunity assessment model of matrix binomial components is suggested, which is characterized by error probability calculation depending on the error probability of a digit, length of code combinations and number of contained units. This gives an opportunity to build components with a given level of noise immunity. For the first time the error detection method in ma-trix binomial components of digital devices is suggested, which contains a check bit choice at the end of every matrix row in such a way that the number of units in rows remains even, that allow us to increase the noise immunity level of corres-ponding digital devices' components. Methods of matrix binomial numbers' processing and conversion have further development. In contrast to already exist-ing ones, they are examined for the purpose of finding errors with the help of the matrices' logical analysis that allows us to control digital devices' matrix binomial components work more effectively with the help of integrated monitoring circuits. A matrix binomial counting devices' synthesis method also has further develop-ment, in which, in contrast to already existing one, signal parallel transfer along the matrix column is used, that allow us to improve the operation speed of counting devices.