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Open Access Review Article

11 pages 1191 KB

A Problem of Accuracy of Computer Calculations

Rostyslav V. Bilous, Ivan H. Krykun

Universal Journal of Computer Sciences and Communications 1(1); 10.31586/ujcsc.2022.531 - December 22, 2022

2887 views 274 downloads 3 citations

Abstract

The paper presented the results of the research related to the analysis of the reliability of computer calculations. Relevant examples of incorrect program operation were demonstrated: both quite simp... Read more

Figure 1. Program codes in the C++ programming language for checking of the fulfilment the distributive law: (a) for numbers 0,987, 0,278, and 1,268 in double format; (b) for numbers 0,9871, 0,2781, and 1,268 in float format

Figure 2. Representation of a number in float format in the IEEE-754 standard

Figure 3. Representation of a number in the double format in the IEEE-754 standard

Figure 4. The program for comparing of the number 0,3 presented in different formats

Figure 5. The result of the program from Figure 4

Figure 6. The program implementation of the Rump’s example

Figure 7. The program implementation of the Rump’s example with separated positive and negative parts

Figure 8. The program implementation of the example using the reduced multiplication scheme

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