Answer
Say, a number\[n\] with \[d\] digits to the base 10.
Desired base b, has place values.
\[\ldots {{b}^{3}},{{b}^{2}},{{b}^{1}},{{b}^{0}}\]
Find place values that are less than n.
Divide ntill a reminder that’s not divisible by leftmost place-value, then divide the remainder by lower place-value.
Rewriting n in terms of groups of base b place-values,
\[{{n}_{b}}=\ldots \left( {{d}_{3}}\times {{b}^{2}} \right)+\left( {{d}_{2}}\times {{b}^{1}} \right)+\left( {{d}_{1}}\times {{b}^{0}} \right)\]
The number n is converted to base b.
