Decimal Floating Point

Decimal floating point arithmetic refers to both a representation and operations on decimal floating point numbers. Working directly with decimal (base 10) fractions can avoid the rounding errors that otherwise typically occur when converting between decimal fractions (common in human-entered data, such as measurements or financial information) and binary (base 2) fractions.

The advantage of decimal floating-point representation over decimal fixed-point and integer representation is that it supports a much wider range of values. For example, while a fixed-point representation that allocates eight decimal digits and two decimal places can represent the numbers 123456.78, 8765.43, 123.00, and so on, a floating-point representation with eight decimal digits could also represent 1.2345678, 1234567.8, 0.000012345678, 12345678000000000, and so on. This wider range can dramatically slow the accumulation of rounding errors during successive calculations; for example, the Kahan summation algorithm can be used in floating point to add many numbers with no asymptotic accumulation of rounding error.

Read more about Decimal Floating PointImplementations, IEEE 754-2008 Encoding, Floating Point Arithmetic Operations

Other articles related to "floating, decimal floating point":

Loboc River - Tourism
... For those who want to eat while cruising, floating restaurants are available offering Filipino cuisine buffet and local delicacies that costs P280 per head or more ... Floating restaurants have become a major thriving business that has contributed in boosting the tourism industry not only of the town but also of the province of Bohol ... Besides the sumptuous dining experience that these floating restaurants have in store for tourists, dining guests are treated with are serenaded by ...
Floating Bladderwort
... Floating bladderwort may be a common name for Utricularia gibba, floating bladderwort Utricularia inflata, large floating bladderwort Utricularia radiata, little floating bladderwort This page is an ...
IBM System Z10 - Features - New Features - Decimal Floating Point
... z9 was the first commercial server to add IEEE 754 decimal floating point instructions, although these instructions were implemented in microcode with some hardware assists ... The System z10 implements the main IEEE 754 decimal floating point operations in a built-in, integral component of each processor core and instruction set architecture ... C, and the z/OS Java BigDecimal class can exploit hardware decimal floating point ...
Decimal Floating Point - Floating Point Arithmetic Operations - Multiplication
... There are no cancellation or absorption problems with multiplication or division, though small errors may accumulate as operations are performed repeatedly ... In practice, the way these operations are carried out in digital logic can be quite complex ...
The Monkeys In The Zoo Have More Fun Than Me - Success of "Floating"
... The album was preceded by the well-known single "Floating", which was produced by David Kitt ... "Floating" was famously overheard being played in Whelan's in Dublin by the musician Brendan Benson who immediately requested a copy of the album ... song's writer to inform him he would be covering "Floating" with his band The Raconteurs ...

Famous quotes containing the words point, decimal and/or floating:

    Mildred Pierce: You look down on me because I work for a living, don’t you? You always have. All right, I work. I cook food and sell it and make a profit on it, which, I might point out, you’re not too proud to share with me.
    Monte Beragon: Yes, I take money from you, Mildred. But not enough to make me like kitchens or cooks. They smell of grease.
    Mildred Pierce: I don’t notice you shrinking away from a fifty- dollar bill because it smells of grease.
    Ranald MacDougall (1915–1973)

    It makes little sense to spend a month teaching decimal fractions to fourth-grade pupils when they can be taught in a week, and better understood and retained, by sixth-grade students. Child-centeredness does not mean lack of rigor or standards; it does mean finding the best match between curricula and children’s developing interests and abilities.
    David Elkind (20th century)

    It is only for a little while, only occasionally, methinks, that we want a garden. Surely a good man need not be at the labor to level a hill for the sake of a prospect, or raise fruits and flowers, and construct floating islands, for the sake of a paradise. He enjoys better prospects than lie behind any hill. Where an angel travels it will be paradise all the way, but where Satan travels it will be burning marl and cinders.
    Henry David Thoreau (1817–1862)