A ternary /ˈtɜːrnəri/ numeral system (also called base 3) has three as its base.[1] This means that you can only count with 0, 1, and 2. The first ten numbers (from 0 to 9) in ternary are 00, 01, 02, 10, 11, 12, 20, 21, 22, 100. When all the digits in the number reach 2, you add a 1 in front and change everything else to 0. There is another system with the same name more specifically called the balanced ternary system. This system is called that way because 0 is the middle digit, with the other two digits being -1 and 1. That system is used in comparison logic and ternary computers.
× | 1 | 2 | 10 | 11 | 12 | 20 | 21 | 22 | 100 |
1 | 1 | 2 | 10 | 11 | 12 | 20 | 21 | 22 | 100 |
2 | 2 | 11 | 20 | 22 | 101 | 110 | 112 | 121 | 200 |
10 | 10 | 20 | 100 | 110 | 120 | 200 | 210 | 220 | 1000 |
11 | 11 | 22 | 110 | 121 | 202 | 220 | 1001 | 1012 | 1100 |
12 | 12 | 101 | 120 | 202 | 221 | 1010 | 1022 | 1111 | 1200 |
20 | 20 | 110 | 200 | 220 | 1010 | 1100 | 1120 | 1210 | 2000 |
21 | 21 | 112 | 210 | 1001 | 1022 | 1120 | 1211 | 2002 | 2100 |
22 | 22 | 121 | 220 | 1012 | 1111 | 1210 | 2002 | 2101 | 2200 |
100 | 100 | 200 | 1000 | 1100 | 1200 | 2000 | 2100 | 2200 | 10000 |
Numeral systems by culture | |
---|---|
Hindu–Arabic numerals | |
Western Arabic Eastern Arabic Khmer |
Indian family Brahmi Thai |
East Asian numerals | |
Chinese Suzhou Counting rods |
Japanese Korean |
Alphabetic numerals | |
Abjad Armenian Cyrillic Ge'ez |
Hebrew Greek (Ionian) Āryabhaṭa |
Other systems | |
Attic Babylonian Coptic Egyptian Etruscan |
Mayan Roman Urnfield |
List of numeral system topics | |
Positional systems by base | |
Decimal (10) | |
2, 4, 8, 16, 32, 64 | |
1, 3, 9, 12, 20, 24, 30, 36, 60, more… | |
Similar to a bit in binary, a ternary digit is called a trit.
Related pages
References
Wikiwand in your browser!
Seamless Wikipedia browsing. On steroids.
Every time you click a link to Wikipedia, Wiktionary or Wikiquote in your browser's search results, it will show the modern Wikiwand interface.
Wikiwand extension is a five stars, simple, with minimum permission required to keep your browsing private, safe and transparent.