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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 ...
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 "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.
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.
If a decimal string with at most 6 significant digits is converted to the IEEE 754 single-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. If an IEEE 754 single-precision number is converted to a decimal string with at least 9 ...
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. [2]
decimal64 fits well to replace binary64 format in applications where 'small deviations' are unwanted and speed isn't extremely crucial. In contrast to the binaryxxx data formats the decimalxxx formats provide exact representation of decimal fractions, exact calculations with them and enable human common 'ties away from zero' rounding (in some range, to some precision, to some degree).
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