Sum of Digits in Base K

Omar Faroque
Algorithm and DataStructure
1 min readApr 25, 2021

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Given an integer n (in base 10) and a base k, return the sum of the digits of n after converting n from base 10 to base k.

After converting, each digit should be interpreted as a base 10 number, and the sum should be returned in base 10.

Example 1:

Input: n = 34, k = 6
Output: 9
Explanation: 34 (base 10) expressed in base 6 is 54. 5 + 4 = 9.

Example 2:

Input: n = 10, k = 10
Output: 1
Explanation: n is already in base 10. 1 + 0 = 1.

Constraints:

  • 1 <= n <= 100
  • 2 <= k <= 10

Solution: This is a very straightforward problem like decimal to binary conversion. If you don't know it, follow this explanation https://www.youtube.com/watch?v=rsxT4FfRBaM&t=478s&ab_channel=TheOrganicChemistryTutor

Here is the java solution:

Code can be found here in github.

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