Chapter 4.2, Problem 30E

It Can be shown that every integer can be uniquely represented in the from

$e_j{\text{3}}^k\text{+}{e}_{k-1}{\text{3}}^{k\text{-1}}\text{+}\mathrm{...}\text{+}{e}_{\text{1}}\text{3+}{e}_{\text{0}}$ .

where $e_j\text{=}\text{-1},0$ ,or 1 for j = 0,1,2,…,k. Expansions of this type are called balanced ternary expansions. Find the balanced ternary expansions of

a) 5.

b) 13.

c) 37.

d) 79.