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IEEE Standard 754 Floating Point Numbers

IEEE Standard 754 Floating - Point Page 1 of 8. IEEE Standard 754 Floating Point Numbers Steve Hollasch / Last update 2005-Feb-24. IEEE Standard 754 Floating Point is the most common representation today for real Numbers on computers, including Intel-based PC's, Macintoshes, and most Unix platforms. This article gives a brief overview of IEEE Floating Point and its representation. Discussion of arithmetic implementation may be found in the book mentioned at the bottom of this article. What Are Floating Point Numbers ? There are several ways to represent real Numbers on computers. Fixed Point places a radix Point somewhere in the middle of the digits, and is equivalent to using integers that represent portions of some unit.

Floating-point solves a number of representation problems. Fixed-point has a fixed window of representation, which limits it from representing very large or very small numbers. Also, fixed-point is prone to a loss of precision when two large numbers are divided. Floating-point, on the other hand, employs a sort of "sliding window" of precision

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