Al'-Majta M. Algorithms and devices of ''Fibonacci'' arithmetics of integers of great range

Object of research - "Fibonacci" arithmetics of integers of great range. The aim of research - development of algorithms and devices of "Fibonacci" arithmetics of integers of great range, providing exact calculation for the solution of poorly grounded problems; methods of research and equipment - analytical, experimental, mathematical and imitational modeling, personal computer (PC); theoretical and practical results - method of symbolic information coding which simultaneously provides the increase of coded symbols amount and error binding ant in the process of data input, transfer and storage, algorithms of rational number convertian into integers and vice versa, which is simpler under certain conditions than generalized Euvklide algorithms; algorithms of integers of great range representation, which provides the decrease of machine form degree of numbers representation; algorithms of arithmetic operations execution over integers of great range thus permitting to accelerate the rate of calculations as compared with the known algorithms of multiple accuracy; novelty of the research is confirmed by priority publications; the novelty of the results attained is confirmed by experts and proved by the comparisson with the known analogues; the degree of introduction into practice within the branch of industry; sphere of implementation - design of problem - oriented modules of computing system.