Editing Hexadecimal time

{| class="wikitable floatright" style="text-align:center;"
! colspan="2" | GMT at page generation (<small>[https://en.wikipedia.org/w/index.php?title=Hexadecimal_time&action=purge Update]</small>)
|-
| 24-hour time || {{nowrap|{{#time:H:i:s}}}}
|-
| Hexadecimal time || .{{#invoke:baseConvert|10to16|{{#expr:({{#time:H}}*3600+{{#time:i}}*60+{{#time:s}})*65536/86400}}|precision=0|width=4}}
|}

[[File:Hexadecimal Clock by Nystrom.jpg|thumb|right|256px|Nystrom's ''tonal'' clock-face. The proposed figures on the right are based on rotations of those on the left (assigning value 10 to symbol 9).]]
[[File:Florencetime.jpg|right|256px|thumb|A hexadecimal clock-face (using the [[Florence meridian]])]]

'''Hexadecimal time''' is the representation of the [[time]] of [[day]] as a [[hexadecimal]] [[Real number|number]] in the [[Interval (mathematics)|interval]] [0,&nbsp;1).

The day is divided into 10<sub>16</sub> (16<sub>10</sub>) hexadecimal hours, each hour into 100<sub>16</sub> (256<sub>10</sub>) hexadecimal minutes, and each minute into 10<sub>16</sub> (16<sub>10</sub>) hexadecimal seconds.

==History==
This time format was proposed by the Swedish-American engineer [[John W. Nystrom]] in 1863 as part of his ''[[tonal system]]''.<ref>{{cite book |title=Project of a New System of Arithmetic, Weight, Measure and Coins: Proposed to be Called the Tonal System, with Sixteen to the Base |first=John William |last=Nystrom |publisher=Lippincott |date=1862 |url=https://archive.org/details/bub_gb_aNYGAAAAYAAJ|page=[https://archive.org/details/bub_gb_aNYGAAAAYAAJ/page/n113 105] }}</ref>

In 1997, the American Mark Vincent Rogers of [[Intuitor]] proposed a similar system of hexadecimal time and implemented it in [[JavaScript]] as the Hexclock.<ref>{{Cite web|url=http://www.intuitor.com/hex/hexclock.html|title=Intuitor Hex Headquarters, The Hex Clock|website=www.intuitor.com|access-date=2020-04-02}}</ref>

==Implementation==
A day is unity, or '''1''', and any fraction thereof can be shown with digits to the right of the hexadecimal [[Radix point|separator]].  So the day begins at midnight with '''.0000''' and one hexadecimal second after midnight is '''.0001'''.  Noon is '''.8000''' (one half), one hexadecimal second before was '''.7FFF''' and one hexadecimal second before next midnight will be '''.FFFF'''.

Intuitor-hextime may also be formatted with an underscore separating hexadecimal hours, minutes and seconds. For example:

===Clock===
{| class="wikitable"
! Hex
! Hex (Boardman)
! [[ISO 8601]]
! Comment
|-
| .0100
| 0_10_0
| 00:05:37.5
|
|-
| .0200
| 0_20_0
| 00:11:15
|
|-
| .0400
| 0_40_0
| 00:22:30
|
|-
| .0800
| 0_80_0
| 00:45:00
|
|-
| .1000
| 1_00_0
| 01:30:00
| 1.5:24 = 1:16 = 0.1
|-
| .8000
| 8_00_0
| 12:00:00
| 12:24 = 8:16 = 0.8
|-
| .F000
| F_00_0
| 22:30:00 
| 22.5:24 = 15:16 = 0.F
|-
| .F800
| F_80_0
| 23:15:00 
|
|}

===Conversions===
{| style="border: 1px solid #a2a9b1; border-spacing: 3px; margin: 0.5em 0 0.5em 1em; padding: 0.2em; line-height: 1.5em;"
! Hex
!
! hexsec<br> base 16
!
! hexsec<br> base 10
!
! Traditional
|-
|-
| 1 day
| = || style="text-align:right" | 10000
| = || style="text-align:right" | 65536
| = || 24 h
|-
| 1 hexadecimal hour
| = || style="text-align:right" | 1000
| = || style="text-align:right" | 4096
| = || 1 h 30 min
|-style="background:white; color:gray"
| 1 hexadecimal maxime
| = || style="text-align:right" | 100
| = || style="text-align:right" | 256
| = || 5 min 37.5 s
|-
| 1 hexadecimal minute
| = || style="text-align:right" | 10
| = || style="text-align:right" | 16
| = || 21.09375 s
|-
| 1 hexadecimal second
| = || style="text-align:right" | 1
| = || style="text-align:right" | 1
| = || 1.318359375 s
|-
|1 second
| = || 0.C22E4
| = || 0.75851
| = || 1 s
|-
|}

==See also==
* [[Binary time]]
* [[Decimal time]]
* [[Metric time]]

== References ==
{{reflist}}

==Further reading==
* {{cite magazine |title=Digital Time |author-first=Ronald O. |author-last=Whitaker |location=Indianapolis, Indiana, USA |date=October 1972 |magazine=[[Physics Today]] |department=Letters |publisher=[[American Institute of Physics]] |volume=25 |issue=11 |doi=10.1063/1.3071119 |page=79 |url=https://physicstoday.scitation.org/doi/abs/10.1063/1.3071119?journalCode=pto |access-date=2022-12-24 |url-status=live |archive-url=https://web.archive.org/web/20221224133611/https://physicstoday.scitation.org/doi/abs/10.1063/1.3071119?journalCode=pto |archive-date=2022-12-24}}

==External links==
* [https://web.archive.org/web/20160304081507/http://spwebgames.com/clockinfo/?viewType=Hex Hexadecimal Time Applet] - digital and analog
* [http://www.abulsme.com/binarytime/ True Binary Time] - local time as a binary number 
* [http://www.steffen-eitner.homepage.t-online.de/tempilo/tempkons.htm Analog hexadecimal clock] - Florence Mean Time

{{DEFAULTSORT:Hexadecimal Time}}
{{Time Topics}}
[[Category:Time measurement systems]]
[[Category:Hexadecimal numeral system]]
[[Category:Clock designs]]