Digit Sum in Different Bases

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To find the digit sum of 123 in base 10, add up the digits to get 6. The digit sum of 10101 in base 2 is 3 in base 10. Here, the digit sums in base 10 of an integer in different bases give an interesting plot with lines, parabolas, and even diamonds.

Contributed by: Kevin Choi (December 2012)
Open content licensed under CC BY-NC-SA


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