Negaternary
From Wikipedia, the free encyclopedia
| Numeral systems by culture | |
|---|---|
| Hindu-Arabic numerals | |
| Western Arabic Eastern Arabic Khmer |
Indian family Brahmi Thai |
| East Asian numerals | |
| Chinese Japanese |
Korean |
| Alphabetic numerals | |
| Abjad Armenian Cyrillic Ge'ez |
Hebrew Ionian/Greek Sanskrit |
| Other systems | |
| Attic Etruscan Urnfield Roman |
Babylonian Egyptian Mayan |
| List of numeral system topics | |
| Positional systems by base | |
| Decimal (10) | |
| 2, 4, 8, 16, 32, 64 | |
| 3, 9, 12, 24, 30, 36, 60, more… | |
Negaternary is a non-standard positional numeral system in which numbers are written as sums of successive powers of -3. The three digits are 0, 1, and 2. The advantage of using a negative radix is that there is no longer a need for a minus sign; negative numbers can be written the same way as positive numbers. (Compare with balanced ternary in which the radix is positive 3 but the digits are -1, 0, and 1.) Here are the integers from negative ten to ten in both decimal and negaternary:
-10 1212 -9 1200 -8 1201 -7 1202 -6 20 -5 21 -4 22 -3 10 -2 11 -1 12 0 0 1 1 2 2 3 120 4 121 5 122 6 110 7 111 8 112 9 100 10 101
As in negabinary and negadecimal, negative numbers have an even number of digits, and positive numbers have an odd number of digits.
