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Densely packed decimal (DPD) is an efficient method for binary encoding decimal digits.. The traditional system of binary encoding for decimal digits, known as binary-coded decimal (BCD), uses four bits to encode each digit, resulting in significant wastage of binary data bandwidth (since four bits can store 16 states and are being used to store only 10), even when using packed BCD.
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Reversible Implementation of Densely-Packed-Decimal Converter to and from Binary-Coded-Decimal Format Using in IEEE-754R. 9th International Conference on Information Technology (ICIT'06). IEEE. pp. 273– 276. Cowlishaw, Mike F. (2009) [2002, 2008]. "Bibliography of material on Decimal Arithmetic – by category". General Decimal Arithmetic. IBM
The significand's leading decimal digit forms from the (0)cde or 100e bits as binary integer. The subsequent digits are encoded in the 10 bit 'declet' fields 'tttttttttt' according the DPD rules (see below). The full decimal significand is then obtained by concatenating the leading and trailing decimal digits.
The C language has no provision for zoned decimal. The IBM ILE C/C++ compiler for System i provides functions for conversion between int or double and zoned decimal: [8] QXXDTOZ() — Convert Double to Zoned Decimal; QXXITOZ() — Convert Integer to Zoned Decimal; QXXZTOD() — Convert Zoned Decimal to Double; QXXZTOI() — Convert Zoned ...
BCD numbers can be represented in two ways in integer registers: packed decimal and unpacked decimal. Packed (4 bits) In packed decimal representation a decimal digit is stored in one nibble. The values 10 to 15 are not used. [2] Unpacked (8 bits) In unpacked decimal representation a decimal digit is stored in one byte. The values 10 to 255 are ...