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In computing, floating-point arithmetic (FP) is arithmetic that represents subsets of real numbers using an integer with a fixed precision, called the significand, scaled by an integer exponent of a fixed base. Numbers of this form are called floating-point numbers.
Jun 26, 2023 · There are posts on representation of floating point format. The objective of this article is to provide a brief introduction to floating point format. The following description explains terminology and primary details of IEEE 754 binary floating-point representation.
IEEE-754 Floating Point Converter. This page allows you to convert between the decimal representation of a number (like "1.02") and the binary format used by all modern CPUs (a.k.a. "IEEE 754 floating point").
This document explains the IEEE 754 floating-point standard. It explains the binary representation of these numbers, how to convert to decimal from floating point, how to convert from floating point to decimal, discusses special cases in floating point, and finally ends with some C code to further one's understanding of floating point.
Mar 31, 2021 · A floating point number, is a positive or negative whole number with a decimal point. For example, 5.5, 0.25, and -103.342 are all floating point numbers, while 91, and 0 are not. Floating point numbers get their name from the way the decimal point can "float" to any position necessary.
The objectives of this module are to discuss the need for floating point numbers, the standard representation used for floating point numbers and discuss how the various floating point arithmetic operations of addition, subtraction, multiplication and division are carried out.
It begins with background on floating-point representation and rounding error, continues with a discussion of the IEEE floating-point standard, and concludes with numerous examples of how computer builders can better support floating-point.
Mar 1, 1991 · Some of the topics discussed are floating-point formats, relative error and ulps (units in the last place), guard digits, and cancellation. Goldberg discusses the relations between ulps, relative error, and machine epsilon, with examples illustrating “wobble” in ulps.
3 days ago · See Examples of Floating Point Problems for a pleasant summary of how binary floating point works and the kinds of problems commonly encountered in practice. Also see The Perils of Floating Point for a more complete account of other common surprises.
Aims to provide both short and simple answers to the common recurring questions of novice programmers about floating-point numbers not 'adding up' correctly, and more in-depth information about how IEEE 754 floats work, when and how to use them correctly, and what to use instead when they are not appropriate.
