Hexadecimal time
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! colspan="2" | GMT at page generation ([https://en.wikipedia.org/w/index.php?title=Hexadecimal_time&action=purge Update]) | |
| 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
Hexadecimal time is the representation of the time of day as a hexadecimal number in the interval [0, 1).
The day is divided into 1016 (1610) hexadecimal hours, each hour into 10016 (25610) hexadecimal minutes, and each minute into 1016 (1610) hexadecimal seconds.
History
This time format was proposed by the Swedish-American engineer John W. Nystrom in 1863 as part of his tonal system.{{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] }}
In 1997, the American Mark Vincent Rogers of Intuitor proposed a similar system of hexadecimal time and implemented it in JavaScript as the Hexclock.{{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}}
Implementation
A day is unity, or 1, and any fraction thereof can be shown with digits to the right of the hexadecimal 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=
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! 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=
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! Hex ! ! hexsec ! ! hexsec ! ! 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
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
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{{Time Topics}}
Category:Time measurement systems