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Each line or column (depending on how you mount the clock) represents a part of the time :
| line | description | values |
|---|---|---|
| 1 | hours | 00-23 |
| 2 | minutes | 00-59 |
| 3 | seconds | 00-59 |
Each element of the line represents one base-3 digit, with a different color for each possible value :
- 0 :
light off - 1 :
green - 2 :
red
In a horizontal configuration, the numbers should be read from right to left.
The rightmost element is the least significant trit (yes trit, not bit).
The leftmost element is the most significant trit.
As for the hour on the first line, only three elements are needed, the top-left square is used as an indicator for the settings menu.
The same way binary or decimal numeral systems are based on powers of their respective radices 2 and 10, the ternary system is based on powers of 3.
| trit | least significant | ... | most significant | ||||
|---|---|---|---|---|---|---|---|
| power | 0 | 1 | 2 | 3 | 4 | ... | |
| decimal | 1 | 3 | 9 | 27 | 81 | ... | |
| range | 0/1/2 | 0/3/6 | 0/9/18 | 0/27/54 | 0/81/162 | ... |
So to convert a ternary number to the decimal system, you have to start with the rightmost digit, multiply it with 3^0, multiply the next digit with 3^1, 3^2, and so on...
So for example (11021)ter = 1x3^0 + 2x3^1 + 0x3^2 + 1x3^3 + 1x3^4 = (111)dec
The ternary numbers for the clock will have maximum 4 digits (max 3 for the hours).
-
hours: (000)ter - (222)ter => (0)dec - (26)dec -
mins/secs: (0000)ter - (2222)ter => (0)dec - (80)dec
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If you are having any additional questions, just drop me a line 📧.