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E.g. decimal 0.1 has the IEEE double representation 0 (1).1001 1001 1001 1001 1001 1001 1001 1001 1001 1001 1001 1001 1010 × 2^(-4); when added to 140737488355328.0 (which is 2 +47) it will lose all of its bits, except the first two. Thus from '= ( 140737488355328.0 + 0.1 - 140737488355328.0) it will come back as 0.09375 instead of 0.1 when ...
For example, while a fixed-point representation that allocates 8 decimal digits and 2 decimal places can represent the numbers 123456.78, 8765.43, 123.00, and so on, a floating-point representation with 8 decimal digits could also represent 1.2345678, 1234567.8, 0.000012345678, 12345678000000000, and so on.
As of September 2015, the largest confirmed Lucas prime is L 148091, which has 30950 decimal digits. [4] As of August 2022, the largest known Lucas probable prime is L 5466311, with 1,142,392 decimal digits. [5] If L n is prime then n is 0, prime, or a power of 2. [6] L 2 m is prime for m = 1, 2, 3, and 4 and no other known values of m.
Every terminating decimal representation can be written as a decimal fraction, a fraction whose denominator is a power of 10 (e.g. 1.585 = 1585 / 1000 ); it may also be written as a ratio of the form k / 2 n ·5 m (e.g. 1.585 = 317 / 2 3 ·5 2 ).
Any such symbol can be called a decimal mark, decimal marker, or decimal sign. Symbol-specific names are also used; decimal point and decimal comma refer to a dot (either baseline or middle ) and comma respectively, when it is used as a decimal separator; these are the usual terms used in English, [ 1 ] [ 2 ] [ 3 ] with the aforementioned ...
Similarly, if the final digit on the right of the decimal mark is zero—that is, if b n = 0 —it may be removed; conversely, trailing zeros may be added after the decimal mark without changing the represented number; [note 1] for example, 15 = 15.0 = 15.00 and 5.2 = 5.20 = 5.200. For representing a negative number, a minus sign is placed ...
The current average interest rate for a 30-year fixed mortgage is 7.08% for purchase and 7.09% for refinance — down 3 basis points from 7.11% for purchase and 4 basis points from 7.13% for ...
C# has a built-in data type decimal consisting of 128 bits resulting in 28–29 significant digits. It has an approximate range of ±1.0 × 10 −28 to ±7.9228 × 10 28. [1] Starting with Python 2.4, Python's standard library includes a Decimal class in the module decimal. [2] Ruby's standard library includes a BigDecimal class in the module ...