## Thinking Mathematically (6th Edition)

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.