Floating Point Calculations

Floating point - Wikipedia, the free encyclopedia

In computing, floating point describes a system for numerical representation in which a string of digits (or bits) represents a rational number. The term floating point refers to the fact that the...
en.wikipedia.org/wiki/Floating_point

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FLOPS - Wikipedia, the free encyclopedia

In computing, FLOPS (or flops or flop/s ) is an acronym meaning FL oating point O perations P er S econd. The FLOPS is a measure of a computer's performance, especially in fields of scie...
en.wikipedia.org/wiki/FLOPS

IEEE-754 Calculators

Enter decimal numbers and see the hexadecimal values of its single and double precision floating-point representations. ... Enter a 32-bit value in hexadecimal and see it analyzed as a single-precision floating-point value.

babbage.cs.qc.edu/IEEE-754/

IEEE-754 Floating-Point Conversion from Floating-Point to

IEEE-754 Floating-Point Conversio ... ; From Decimal Floating-Point; To 32-bit and 64-bit Hexadecimal Representations; Along with Their Binary Equivalents ... Enter a decimal floating-point number here, then click either the Rounded or the Not Rounded button. Decimal Floating-Point:

babbage.cs.qc.edu/IEEE-754/Decimal.html

INFO: Precision and Accuracy in Floating-Point Calculations

There are many situations in which precision, rounding, and accuracy in floating-point calculations can work to generate results that are surprising to the programmer. There are four general rules that should be followed: In a calculation... ... Never compare two floating-point values to see if they are equal or not- equal.

support.microsoft.com/kb/125056

INFO: How Windows handles floating-point calculations

When a thread causes a floating-point exception, the SEH mechanism looks for an exception handler registered by the thread to handle the exception. If the thread does not handle the exception, the process that owns it is closed.

support.microsoft.com/kb/102555

What Every Computer Scientist Should Know About Floating-Point

Since most floating-point calculations have rounding error anyway, does it matter if the basic arithmetic operations introduce a little bit more rounding error than necessary? That question is a main theme throughout this section.

docs.sun.com/source/806-3568/ncg_goldberg.html

Why are floating point calculations so inaccurate?

It’s a problem caused by the internal representation of floating point numbers, which uses a fixed number of binary digits to represent a decimal number. Some decimal numbers can’t be represented exactly in binary, resulting in small roundoff errors.

effbot.org/pyfaq/why-are-floating-point-calculations-so... effbot.org/pyfaq/why-are-floating-point-calculations-so-inaccurate.htm

FDIV Replacement Program - FDIV Replacement Program Home

Contains replacement information for customers whose systems contained the floating point unit flaw, including a FAQ and diagnostic instructions. ... Intel White Paper: Detailed Statistical Analysis of Floating Point Flaw in Pentium Processors...

support.intel.com/support/processors/pentium/fdiv/

A floating-point calculation error may occur when you put the

Describes a problem where if you put a Windows XP Professional x64 Edition-based computer into standby and then resume the computer when the system is performing intense floating-point calculations, a calculation error may occur. ... The computers run programs that perform intense floating-point calculations.

support.microsoft.com/kb/934198