Control of the accuracy of computer calculations (IEEE 754 standard)

Abstract

The qualification work is devoted to the study and analysis of the accuracy control of computer calculations according to the IEEE 754 standard. The problem of computer computing accuracy is one of the fundamental problems of Computer Science, since failure to take into account the limit of reliability of computer calculations can lead to unpredictable results. Physical limitations on the amount of memory allocated by computer equipment for number processing impose fundamental restrictions on the capabilities and logic of computer calculations, which also requires the use of specific mathematical research methods.