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The otherwise binary Wang VS machine supported a 64-bit decimal floating-point format in 1977. [2] The Motorola 68881 supported a format with 17 digits of mantissa and 3 of exponent in 1984, with the floating-point support library for the Motorola 68040 processor providing a compatible 96-bit decimal floating-point storage format in 1990.
The "decimal" data type of the C# and Python programming languages, and the decimal formats of the IEEE 754-2008 standard, are designed to avoid the problems of binary floating-point representations when applied to human-entered exact decimal values, and make the arithmetic always behave as expected when numbers are printed in decimal.
FLOAT (64-bit) DECIMAL, NUMERIC (38 digits) CHAR, VARCHAR, CLOB: BYTE, VARBYTE, BLOB: DATE, TIME, TIMESTAMP (w/wo TIME ZONE) PERIOD, INTERVAL, GEOMETRY, XML, JSON, UDT (User Defined Type) UniData: Dynamic N/A N/A N/A N/A N/A N/A N/A N/A UniVerse: Dynamic N/A N/A N/A N/A N/A N/A N/A N/A Type system Integer Floating point Decimal String Binary ...
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) then converted back to the same number of significant decimal digits (as for output), then the final string ...
A decimal data type could be implemented as either a floating-point number or as a fixed-point number. In the fixed-point case, the denominator would be set to a fixed power of ten. In the floating-point case, a variable exponent would represent the power of ten to which the mantissa of the number is multiplied.
Swift introduced half-precision floating point numbers in Swift 5.3 with the Float16 type. [20] OpenCL also supports half-precision floating point numbers with the half datatype on IEEE 754-2008 half-precision storage format. [21] As of 2024, Rust is currently working on adding a new f16 type for IEEE half-precision 16-bit floats. [22]
For a decimal number with scale S, the exact numeric value is the integer value of the significant digits divided by 10 S. SQL provides the functions CEILING and FLOOR to round numerical values. (Popular vendor specific functions are TRUNC (Informix, DB2, PostgreSQL, Oracle and MySQL) and ROUND (Informix, SQLite, Sybase, Oracle, PostgreSQL ...
The format of an n-bit posit is given a label of "posit" followed by the decimal digits of n (e.g., the 16-bit posit format is "posit16") and consists of four sequential fields: sign: 1 bit, representing an unsigned integer s; regime: at least 2 bits and up to (n − 1), representing an unsigned integer r as described below