Are Ieee 754 32-bit and 64-bit Binary Floating-point Accurate Enough?

摘要

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 80x 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.