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Long division is the standard algorithm used for pen-and-paper division of multi-digit numbers expressed in decimal notation. It shifts gradually from the left to the right end of the dividend, subtracting the largest possible multiple of the divisor (at the digit level) at each stage; the multiples then become the digits of the quotient, and the final difference is then the remainder.
Place this template in appropriate articles usually at or near the top of the page. This template supports one optional parameter, |image= (or |1=), to specify an image: {{Floating-point|[[File:Pcm.svg|160px]]}} will yield the sidebar as shown.
This is a documentation subpage for Template:Floating-point. It may contain usage information, categories and other content that is not part of the original template page. Floating-point formats
Many programming languages provide functions that can be used to divide a floating point number by a power of two. For example, the Java programming language provides the method java.lang.Math.scalb for scaling by a power of two, [ 7 ] and the C programming language provides the function ldexp for the same purpose.
The bug acquired the name "Pentium FDIV bug" from the x86 assembly language mnemonic for floating-point division, the most frequently used instruction affected. [ 9 ] The story first appeared in the press on November 7, 1994, in an article in Electronic Engineering Times , "Intel fixes a Pentium FPU glitch" by Alexander Wolfe, [ 11 ] and was ...
A floating-point system can be used to represent, with a fixed number of digits, numbers of very different orders of magnitude — such as the number of meters between galaxies or between protons in an atom. For this reason, floating-point arithmetic is often used to allow very small and very large real numbers that require fast processing times.
The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point arithmetic originally established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE). The standard addressed many problems found in the diverse floating-point implementations that made them difficult to use reliably and ...
More extensive arbitrary precision floating point arithmetic is available with the third-party "mpmath" and "bigfloat" packages. Racket: the built-in exact numbers are of arbitrary precision. Example: (expt 10 100) produces the expected (large) result. Exact numbers also include rationals, so (/ 3 4) produces 3/4.
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