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Encyclopedia > Negaternary

Negaternary is a 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, negative numbers have an even number of digits, and positive numbers have an odd number of digits.


 
 

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