Something I found while reading about base systems, I can’t really wrap my head around it. Maybe it has to do with fractions?
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You can convert any rational number from any natural number base to any other exact. Decimal does not have a special place.
It is not a way easy to convert from a fraction like you can with 1/10 = 0.1, 1/3 =0.33333 and it continues forever. The denominator has to have the same prime factor as the base to convert like 1/10 = 0.1. So conversion will be easier if two bases have the same prime factors. It is simpler between base 10 and base 20 than base 10 and base 9
It is possible to have a number base that is not a natural number like a base of pi. The number 10 in base pi will be pi in the base then and you cant write it as a fraction.
So there is nothing special about base 10, you can convert between any base you like.
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