**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 Point: Implementations, IEEE 754-2008 Encoding, Floating Point Arithmetic Operations

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

... 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 ... newspaper spelt it "Jabe") and rang the song's writer to inform him he would be covering "

**Floating**" with his band The Raconteurs ...

... For those who want to eat while cruising,

**floating**restaurants are available offering Filipino cuisine buffet and local delicacies that costs P280 per ...

**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 ... sumptuous dining experience that these

**floating**restaurants have in store for tourists, dining guests are treated with are serenaded by an in-boat band that plays a variety of songs and even songs requested by the ...

**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 ...

**Decimal Floating Point**

... The System 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 ... As examples, Enterprise PL/I, XL C, and the z/OS Java BigDecimal class can exploit hardware

**decimal floating point**...

...

**Floating**bladderwort may be a common name for Utricularia gibba,

**floating**bladderwort Utricularia inflata, large

**floating**bladderwort Utricularia radiata, little

**floating**...

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

“...there is a difference between being convinced and being stubborn. I’m not certain what the difference is, but I do know that if you butt your head against a stone wall long enough, at some *point* you realize the wall is stone and that your head is flesh and blood.”

—Maya Angelou (b. 1928)

“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)

“Again we mistook a little rocky islet seen through the “drisk,” with some taller bare trunks or stumps on it, for the steamer with its smoke-pipes, but as it had not changed its position after half an hour, we were undeceived. So much do the works of man resemble the works of nature. A moose might mistake a steamer for a *floating* isle, and not be scared till he heard its puffing or its whistle.”

—Henry David Thoreau (1817–1862)