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floats | A Wisdom Archive on floats |  | floats A selection of articles related to floats |  |
| We recommend this article: floats - 1, and also this: floats - 2. |
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More material related to Floats can be found here:
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| ARTICLES RELATED TO floats | |
 |  |  | floats: Encyclopedia II - Floating point - Problems with floating-point
Floating-point numbers usually behave very similarly to the real numbers they are used to approximate. However, this can easily lead programmers into over-confidently ignoring the need for numerical analysis. There are many cases where floating-point numbers do not model real numbers well, even in simple cases such as representing the decimal fraction 0.1, which cannot be exactly represented in any binary floating-point format. For this reason, financial software tends not to use a binary floating-point n ...
See also:Floating point, Floating point - Usage in computing, Floating point - Problems with floating-point, Floating point - Properties of floating point arithmetic, Floating point - IEEE standard, Floating point - Examples, Floating point - Hidden bit, Floating point - Note Read more here: » Floating point: Encyclopedia II - Floating point - Problems with floating-point |
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 |  |  | floats: Encyclopedia II - Floating point - Examples
Floating point - Hidden bit.
When using binary (b = 2), one bit, called the hidden bit or the implied bit, can be omitted if all numbers are required to be normalized. The leading digit (most significant bit) of the significand of a normalized binary floating-point number is always non-zero; in particular it is always 1. This means that this bit does not need to be stored explicitly, since for a normalized number it can be understood to be 1.
The IEEE 754 standard exploits this fact. R ...
See also:Floating point, Floating point - Usage in computing, Floating point - Problems with floating-point, Floating point - Properties of floating point arithmetic, Floating point - IEEE standard, Floating point - Examples, Floating point - Hidden bit, Floating point - Note Read more here: » Floating point: Encyclopedia II - Floating point - Examples |
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 |  |  | floats: Encyclopedia II - Floating point - Properties of floating point arithmeticArithmetic using the floating point number system has two important properties that differ from those of arithmetic using real numbers.
Floating point arithmetic is not associative. This means that in general for floating point numbers x, y, and z:
Floating point arithmetic is also not distributive. This means that in general:
In short, the order in which operations are carried out can change the output of a floating point calculation. This is important in numerical ana ...
See also:Floating point, Floating point - Usage in computing, Floating point - Problems with floating-point, Floating point - Properties of floating point arithmetic, Floating point - IEEE standard, Floating point - Examples, Floating point - Hidden bit, Floating point - Note Read more here: » Floating point: Encyclopedia II - Floating point - Properties of floating point arithmetic |
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 |  |  | floats: Encyclopedia II - Floating point - IEEE standardThe IEEE has standardized the computer representation for binary floating-point numbers in IEEE 754. This standard is followed by almost all modern machines. Notable exceptions include IBM Mainframes, which have both hexadecimal and IEEE 754 data types, and Cray vector machines, where the T90 series had an IEEE version, but the SV1 still uses Cray floating-point format.
As of 2000, the IEEE 754 stan ...
See also:Floating point, Floating point - Usage in computing, Floating point - Problems with floating-point, Floating point - Properties of floating point arithmetic, Floating point - IEEE standard, Floating point - Examples, Floating point - Hidden bit, Floating point - Note Read more here: » Floating point: Encyclopedia II - Floating point - IEEE standard |
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 |  |  | floats: Encyclopedia II - Floating rate note - TradingSecurities dealers make markets in FRNs. They are traded over-the-counter, instead of on a stock exchange. In Europe, most FRNs are liquid, as the biggest investors are banks. In the US, FRNs are mostly held to maturity, so the markets aren't as liquid. In the wholesale markets, FRNs are typically quoted as a spread over the reference rate.
Floating rate note - Trading example.
Suppose a new 5 year FRN pays a coupon of 3 months LIBOR +0.20%, and is issued at par (100.00). If the perception of the credit-wo ...
See also:Floating rate note, Floating rate note - Issuers, Floating rate note - Variations, Floating rate note - Risk, Floating rate note - Trading, Floating rate note - Trading example Read more here: » Floating rate note: Encyclopedia II - Floating rate note - Trading |
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 |  |  | floats: Encyclopedia II - Market capitalization - FloatThe amount of shares available on the open market, the "float" (or "free float") is sometimes less than the total number of shares because a portion of the outstanding shares may be held by "insiders," and/or by the company as treasury stock. In addition to the float being perhaps much smaller than the total number of shares, a significant portion of the float may be owned by large institutional investors who rarely trade. As a result, on any given trading day, generally only a small percentage of shares is traded, as in the example of ...
See also:Market capitalization, Market capitalization - Valuation, Market capitalization - Float, Market capitalization - Categorization of companies by market cap, Market capitalization - Examples, Market capitalization - Levels, Market capitalization - Lists Read more here: » Market capitalization: Encyclopedia II - Market capitalization - Float |
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 |  |  | floats: Encyclopedia II - Market capitalization - FloatThe amount of shares available on the open market, the "free float", is sometimes less than the total number of shares because a portion of the outstanding shares may be held by "insiders," and/or by the company as treasury stock. In addition to the float being perhaps much smaller than the total number of shares, a significant portion of the float may be owned by large institutional investors who rarely trade. As a result, on any given trading day, generally only a small percentage of shares is traded, as in the example of ...
See also:Market capitalization, Market capitalization - Valuation, Market capitalization - Float, Market capitalization - Categorization of companies by market cap, Market capitalization - Examples, Market capitalization - Levels, Market capitalization - Lists Read more here: » Market capitalization: Encyclopedia II - Market capitalization - Float |
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