17 May
2018
17 May
'18
5:25 p.m.
I came up with rational bases of the A/B, A > B >= 1. Long addition is like regular addition, except when a digit becomes >= A, you subtract A from the digit and carry B to the next most significant digit. The value of place P is (A/B)^P. The digits are 0 through A-1. Base A/1 is isomorphic to standard base A. However, A/B = C/D does not imply base A/B = base C/D, for example, base 3/2 is different form base 6/4. For example, counting in base 3/2: 0, 1, 2, 20, 21, 22, 210, 211, 212, 2100, 2101, 2102, 2120, 2121, 2122, 21010, ... I invented this independently, but I would be surprised if I were the first.