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Double-precision floating-point format (sometimes called FP64 or float64) is a floating-point number format, usually occupying 64 bits in computer memory; it represents a wide range of numeric values by using a floating radix point. Double precision may be chosen when the range or precision of single precision would be insufficient.
float = CSng(string) double = CDbl(string) string = CStr(number) Visual Basic .NET (can use both VB syntax above and .NET methods shown right) integer = Integer.Parse (string) long = Long.Parse (string) float = Single.Parse (string) double = Double.Parse (string) string = number.ToString() Xojo: integer = Val(string) long = Val(string) double ...
interchange formats: encodings (bit strings) that may be used to exchange floating-point data in an efficient and compact form; rounding rules: properties to be satisfied when rounding numbers during arithmetic and conversions; operations: arithmetic and other operations (such as trigonometric functions) on arithmetic formats
This gives from 33 to 36 significant decimal digits precision. If a decimal string with at most 33 significant digits is converted to the IEEE 754 quadruple-precision format, giving a normal number, and then converted back to a decimal string with the same number of digits, the final result should match the original string.
From binary32 to bfloat16. When bfloat16 was first introduced as a storage format, [15] the conversion from IEEE 754 binary32 (32-bit floating point) to bfloat16 is truncation (round toward 0). Later on, when it becomes the input of matrix multiplication units, the conversion can have various rounding mechanisms depending on the hardware platforms.
Conversion of the fractional part: Consider 0.375, the fractional part of 12.375. To convert it into a binary fraction, multiply the fraction by 2, take the integer part and repeat with the new fraction by 2 until a fraction of zero is found or until the precision limit is reached which is 23 fraction digits for IEEE 754 binary32 format.
The last 9 digit is the eighteenth fractional digit and thus the twentieth significant digit of the string. Bounds on conversion between decimal and binary for the 80-bit format can be given as follows: If a decimal string with at most 18 significant digits is correctly rounded to an 80-bit IEEE 754 binary floating-point value (as on input ...
The best-known is the string "From " (including trailing space) at the beginning of a line, used to separate mail messages in the mbox file format. By using a binary-to-text encoding on messages that are already plain text, then decoding on the other end, one can make such systems appear to be completely transparent .