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2023-08-08T01:38:20Z

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alpha>Indicwiki: Created page with "{| class="wikitable" style="text-align:center" |+Densely packed decimal encoding rules{{cite web |author-first=Michael Frederic |author-last=Cowlish..."

2023-03-01T13:00:37Z

Created page with "{| class="wikitable" style="text-align:center" |+Densely packed decimal encoding rules<ref name="Cowlishaw_2000">{{cite web |author-first=Michael Frederic |author-last=Cowlish..."

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{| class="wikitable" style="text-align:center"
|+Densely packed decimal encoding rules<ref name="Cowlishaw_2000">{{cite web |author-first=Michael Frederic |author-last=Cowlishaw |author-link=Michael Frederic Cowlishaw |publisher=[[IBM]] |title=A Summary of Densely Packed Decimal encoding |orig-date=2000-10-03 |date=2007-02-13 |url=http://speleotrove.com/decimal/DPDecimal.html |access-date=2016-02-07 |url-status=live |archive-url=https://web.archive.org/web/20150924145411/http://speleotrove.com/decimal/DPDecimal.html |archive-date=2015-09-24}}</ref>
|-
! scope="col" colspan="11"|DPD encoded value
| rowspan="10"|
! scope="col" colspan="6"|Decimal digits
|-
! scope="col"|Code space (1024 states)
! scope="col"|b9 !! scope="col"|b8 !! scope="col"|b7 !! scope="col"|b6 !! scope="col"|b5
! scope="col"|b4 !! scope="col"|b3 !! scope="col"|b2 !! scope="col"|b1 !! scope="col"|b0
! scope="col"|d2 !! scope="col"|d1 !! scope="col"|d0
! scope="col"|Values encoded
! scope="col"|Description
! scope="col"|Occurrences (1000 states)
|-
| 50.0% (512 states)
| style="background:#cef2e0"|a || style="background:#cef2e0"|b || style="background:#cef2e0"|c || style="background:#cedff2"|d || style="background:#cedff2"|e || style="background:#cedff2"|f || '''0''' || style="background:#ddcef2"|g || style="background:#ddcef2"|h || style="background:#ddcef2"|i || style="background:#cef2e0"|0'''abc''' || style="background:#cedff2"|0'''def''' || style="background:#ddcef2"|0'''ghi''' || (0–7) (0–7) (0–7) || Three small digits
| 51.2% (512 states)
|- style="background:#f2f2f2"
| rowspan=3|37.5% (384 states)
| style="background:#cef2e0"|a || style="background:#cef2e0"|b || style="background:#cef2e0"|c || style="background:#cedff2"|d || style="background:#cedff2"|e || style="background:#cedff2"|f || '''1''' || '''0''' || '''0''' || style="background:#ddcef2"|i || style="background:#cef2e0"|0'''abc''' || style="background:#cedff2"|0'''def''' || style="background:#ddcef2"|100'''i''' || (0–7) (0–7) (8–9) || rowspan=3| Two small digits,<br/>one large
| rowspan=3|38.4% (384 states)
|- style="background:#f2f2f2"
| style="background:#cef2e0"|a || style="background:#cef2e0"|b || style="background:#cef2e0"|c || style="background:#ddcef2"|g || style="background:#ddcef2"|h || style="background:#cedff2"|f || '''1'''||'''0'''||'''1''' || style="background:#ddcef2"|i || style="background:#cef2e0"|0'''abc''' || style="background:#cedff2"|100'''f''' || style="background:#ddcef2"|0'''ghi''' || (0–7) (8–9) (0–7)
|- style="background:#f2f2f2"
| style="background:#ddcef2"|g || style="background:#ddcef2"|h || style="background:#cef2e0"|c || style="background:#cedff2"|d || style="background:#cedff2"|e || style="background:#cedff2"|f || '''1''' || '''1''' || '''0''' || style="background:#ddcef2"|i || style="background:#cef2e0"|100'''c''' || style="background:#cedff2"|0'''def''' || style="background:#ddcef2"|0'''ghi''' || (8–9) (0–7) (0–7)
|-
| rowspan=3|9.375% (96 states)
| style="background:#ddcef2"|g || style="background:#ddcef2"|h || style="background:#cef2e0"|c || '''0''' || '''0''' || style="background:#cedff2"|f || '''1''' || '''1''' || '''1''' || style="background:#ddcef2"|i || style="background:#cef2e0"|100'''c''' || style="background:#cedff2"|100'''f''' || style="background:#ddcef2"|0'''ghi''' || (8–9) (8–9) (0–7) || rowspan=3| One small digit,<br/>two large
| rowspan=3|9.6% (96 states)
|-
| style="background:#cedff2"|d || style="background:#cedff2"|e || style="background:#cef2e0"|c || '''0''' || '''1''' || style="background:#cedff2"|f || '''1''' || '''1''' || '''1''' || style="background:#ddcef2"|i || style="background:#cef2e0"|100'''c''' || style="background:#cedff2"|0'''def''' || style="background:#ddcef2"|100'''i''' || (8–9) (0–7) (8–9)
|-
| style="background:#cef2e0"|a || style="background:#cef2e0"|b || style="background:#cef2e0"|c || '''1''' || '''0''' || style="background:#cedff2"|f || '''1''' || '''1''' || '''1''' || style="background:#ddcef2"|i || style="background:#cef2e0"|0'''abc''' || style="background:#cedff2"|100'''f''' || style="background:#ddcef2"|100'''i''' || (0–7) (8–9) (8–9)
|- style="background:#f2f2f2"
| 3.125% (32 states, 8 used)
| x || x || style="background:#cef2e0"|c || '''1''' || '''1''' || style="background:#cedff2"|f || '''1''' || '''1''' || '''1''' || style="background:#ddcef2"|i || style="background:#cef2e0"|100'''c''' || style="background:#cedff2"|100'''f''' || style="background:#ddcef2"|100'''i''' || (8–9) (8–9) (8–9) || Three large digits, bits b9 and b8 are [[don't care]]
| 0.8% (8 states)
|}<noinclude>

== Information ==
This is for transclusion in [[Densely packed decimal]], [[Decimal32]], [[Decimal64]] and [[Decimal128]]. Only the table, above, will be included.

== References ==
{{reflist}}
* {{cite journal |title=Densely Packed Decimal Encoding |author-first=Michael Frederic |author-last=Cowlishaw |author-link=Michael Frederic Cowlishaw |journal=[[IEE Proceedings – Computers and Digital Techniques]] |volume=149 |issue=3 |pages=102–104 |publisher=[[Institution of Electrical Engineers]] (IEE) |date=May 2002 |issn=1350-2387 |doi=10.1049/ip-cdt:20020407 |url=http://ieeexplore.ieee.org/xpl/login.jsp?reload=true&arnumber=1008829 |access-date=2016-02-07}}
* {{cite web |title=Packed Decimal Encoding IEEE-754r |author-first=Jo H. M. |author-last=Bonten |orig-date=2006-10-05 |date=2007-07-18 |url=http://home.hetnet.nl/~jhm.bonten/computers/bitsandbytes/wordsizes/ibmpde.htm#dense |access-date=2008-09-10 |url-status=dead |archive-url=https://web.archive.org/web/20070824053303/http://home.hetnet.nl/mr_1/81/jhm.bonten/computers/bitsandbytes/wordsizes/ibmpde.htm |archive-date=2007-08-24}}
</noinclude><noinclude>
{{documentation
|content=
{{no documentation}}
{{Uncat}}
}}
</noinclude>

Template:Densely packed decimal - Revision history

Indicwiki: 1 revision imported from :alpha:Template:Densely_packed_decimal

alpha>Indicwiki: Created page with "{| class="wikitable" style="text-align:center" |+Densely packed decimal encoding rules{{cite web |author-first=Michael Frederic |author-last=Cowlish..."