Ternary
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Ternary is a system of numbers based around the powers of three and uses three distinct digits (called trits); these could be represented with Arabic numerals as 0, 1, and 2, but you could also get creative and have them be 
, 
, and 
, or perhaps even a nurpoing.
Advantages of ternary over binary
Binary only has 2, but ternary has 3. According to the Law of Greater Values, this makes ternary the clear winner.