Are IEEE 754 32-Bit and 64-Bit Binary Floating-Point Accurate Enough?

Authors

Bernaridho Hutabarat, Department of Electrical Engineering, Faculty of Industrial Engineering, Institut Teknologi Sepuluh Nopember, Sukolilo, Surabaya 60111, IndonesiaFollow
I Ketut Eddy Purnama, Department of Electrical Engineering, Faculty of Industrial Engineering, Institut Teknologi Sepuluh Nopember, Sukolilo, Surabaya 60111, Indonesia
Mochamad Hariadi, Department of Electrical Engineering, Faculty of Industrial Engineering, Institut Teknologi Sepuluh Nopember, Sukolilo, Surabaya 60111, Indonesia
Mauridhi Hery Purnomo, Department of Electrical Engineering, Faculty of Industrial Engineering, Institut Teknologi Sepuluh Nopember, Sukolilo, Surabaya 60111, Indonesia

Abstract

This paper describes a research toward the accuracy of floating-point values, and effort to reveal the real accuracy. The methods used in this research paper are assignment of values, assignment of value of arithmetic expressions, and output the values using floating-point value format that helps reveal the accuracy. The programming-tool used are Visual C# 9, Visual C++ 9, Java 5, and Visual BASIC 9. These tools run on top of Intel 80 x 86 hardware. The results show that 1*10-x cannot be accurately represented, and the approximate accuracy ranges only from 7 to 16 decimal digits.

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Recommended Citation

Hutabarat, Bernaridho; Purnama, I Ketut Eddy; Hariadi, Mochamad; and Purnomo, Mauridhi Hery (2011) "Are IEEE 754 32-Bit and 64-Bit Binary Floating-Point Accurate Enough?," Makara Journal of Technology: Vol. 15: Iss. 1, Article 11.
DOI: 10.7454/mst.v15i1.859
Available at: https://scholarhub.ui.ac.id/mjt/vol15/iss1/11