Hexadecimal time

Hexadecimal time is the representation of the time of day as a hexadecimal number in the interval [0, 1).

GMT at page generation (Update)
24-hour time	02:17:40
Hexadecimal time	.1879

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).

A hexadecimal clock-face (using the Florence meridian)

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.^[1]

In 1997, the American Mark Vincent Rogers of Intuitor proposed a similar system of hexadecimal time and implemented it in JavaScript as the Hexclock.^[2]

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

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

Hex		hexsec base 16		hexsec base 10		Traditional
1 day	=	10000	=	65536	=	24 h
1 hexadecimal hour	=	1000	=	4096	=	1 h 30 min
1 hexadecimal maxime	=	100	=	256	=	5 min 37.5 s
1 hexadecimal minute	=	10	=	16	=	21.09375 s
1 hexadecimal second	=	1	=	1	=	1.318359375 s
1 second	=	0.C22E4	=	0.75851	=	1 s

See also

• Binary time
• Decimal time
• Metric time

References

1. Nystrom, John William (1862). Project of a New System of Arithmetic, Weight, Measure and Coins: Proposed to be Called the Tonal System, with Sixteen to the Base. Lippincott. p. 105.
2. "Intuitor Hex Headquarters, The Hex Clock". www.intuitor.com. Retrieved 2020-04-02.

Further reading

• Whitaker, Ronald O. (October 1972). "Digital Time". Letters. Physics Today. Vol. 25, no. 11. Indianapolis, Indiana, USA: American Institute of Physics. p. 79. doi:10.1063/1.3071119. Archived from the original on 2022-12-24. Retrieved 2022-12-24.

External links

• Hexadecimal Time Applet - digital and analog
• True Binary Time - local time as a binary number
• Analog hexadecimal clock - Florence Mean Time