Binary-coded decimal: Difference between revisions

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In [[byte]]-oriented systems (i.e. most modern computers), the term ''unpacked'' BCD<ref name="Intel_IA32"/> usually implies a full byte for each digit (often including a sign), whereas ''packed'' BCD typically encodes two digits within a single byte by taking advantage of the fact that four bits are enough to represent the range 0 to 9. The precise four-bit encoding, however, may vary for technical reasons (e.g. [[Excess-3]]).
 
{{anchor|Pseudo-tetrade}}The ten states representing a BCD digit are sometimes called ''[[tetrade (computing)|tetrade]]s''<ref name="Klar_1970"/><ref name="Klar_1989"/> (the [[nibble]] typically needed to hold them is also known as a tetrade) while the unused, [[don't care]]-states are named ''pseudo-tetrad(e)s''{{langsmall|de{{bracket|[[:de:Pseudotetrade|<nowiki>"</nowiki>pseudo-tetrad(e)s<nowiki>"</nowiki>de]]}}[de]}},<ref name="Schneider_1986"/><ref name="Tafel_1971"/><ref name="Steinbuch-Weber-Heinemann_1974"/><ref name="Tietze-Schenk_2013"/><ref name="Kowalski_1070"/> ''pseudo-decimals'',<ref name="Klar_1989"/> or ''pseudo-decimal digits''.<ref name="Ferretti_2013"/><ref name="Speiser_1965"/><ref group="nb" name="Pseudo-tetrades"/>
 
BCD's main virtue, in comparison to binary [[positional system]]s, is its more accurate representation and rounding of decimal quantities, as well as its ease of conversion into conventional<!-- many among us can read hexidecimal just fine, though we don't ordinarily memorize the hexadecimal times table --> human-readable representations. Its principal drawbacks are a slight increase in the complexity of the circuits needed to implement basic arithmetic as well as slightly less dense storage.