Suppose we have a number n in decimal number system (base 10) have another value k, we have to find the sum of the digits of n after converting given number n from base 10 to base k. When we calculate digit sum, we will consider each digit as decimal (base 10) number.
So, if the input is like n = 985 k = 8, then the output will be 12 because the number 985 in octal is 1731, so the digit sum is 1+7+3+1 = 12.
To solve this, we will follow these steps −
ans := 0
while n >= k, do
ans := ans + n mod k
n := quotient of n/k
ans := ans + n
Let us see the following implementation to get better understanding −
def solve(n, k): ans = 0 while n>=k: ans = ans + n%k n = n//k ans = ans+n return ans n = 985 k = 8 print(solve(n, k))