Object of the study: processes of control and diagnostics of data errors presented in the system of residual classes. Objective: to increase the efficiency of control and diagnostics of data errors presented in the system of residual classes. Methods: principles of system analysis, number theory, theory of computational processes and systems, theory of coding in SRC. Theoretical and practical results, scientific novelty: the method for data control in the system of residual classes was first obtained, which, unlike the known ones, is based on the principle of parallel nullification, by combining in the time of nullification operations of symmetric remnants of a non-positional code structure that is controlled and the definition of the nullification constant is allows to increase the speed of data control; the method of data control in the system of residual classes was first obtained, which, unlike the known ones, is based on the use of a positional feature of a non-positional code structure by parallel subtraction of established constants, which allows to increase the efficiency of data control; for the first time, a method for increasing the reliability of operational data control presented in the system of residual classes, which, unlike the known ones, is based on the use of a positional feature of a non-positional code structure by applying a corresponding basis that is multiple to the general module of the system of residual classes, this increases the reliability of data control; the method of determining the alternative set of non-positional code structure in the system of residual classes is improved, which is based on the use of the function of the correspondence of the values of possible errors, by reducing the number of checked bases, which are included in the alternative set of numbers, which increases the efficiency of diagnostics of data errors; the method of operative diagnostics of data presented in the system of residual classes is improved, which is based on the formation of numerical intervals and signs of the quadrants of the finding of alternative sets of numbers, by converting the table of correspondence of the values of possible errors; this reduces the time of sampling of the bases being checked and increases the efficiency of diagnostics of data errors. Practical significance: the results of the solution of the important and actual scientific and technical problem, formulated in the dissertation, can be based on the scientific and methodological apparatus for the practical creation of high-performance computer systems and components of processing of integer data (CSCIDP), which function in the SRC; the methods of control and diagnostics of data errors have been developed and improved in the dissertation work; it is expedient to use them when creating the system of control and error correction for the perspective CSCIDP in the SRC; the application of the methods of operational control of data in the SRC proposed in the dissertation, which are based on the use of the principle of nullification and the position of the feature of the non-positional code structure, allows for 25-60% (in comparison with the existing control methods) to reduce the control time, which increases the efficiency of the control procedure; the proposed methods of operative diagnostics of data in the SRC allow up to 30% (in comparison with existing methods of diagnostics) to reduce the time, which increases the efficiency of the procedure for diagnosing data; the considered methods of operative correction of data errors in the SRC have contributed to the development of tools that, unlike existing ones, can increase the efficiency of error correction in the SRC; on the basis of the proposed methods of data processing in the dissertation, algorithms for their implementation in accordance with which the means of data processing in the SRC in the form of devices, which received 22 patents of Ukraine, have been synthesized. Scope of application: during research and development work on the development of methods and means of operational control and diagnostics of data components of the computer system; in studying disciplines "Specialized methods of data processing in telecommunication systems" and "Mathematical bases of designing and optimization of information-switching systems".