Question

What is the base five representation of The number 219

Answer 1

assuming $219_{10}$

Then the column values for base five here are

5³  5²  $5^{1}$  $5^{0}$

We can get 1 × 5³ = 125 → 219 - 125 = 94

We can get 3 × 5² = 75 → 94 - 75 = 19

We can get 3 x $5^{1}$ → 19 - 15 = 4

and 4 = 4 × $5^{0}$

Thus $219_{10}$ = $1334_{5}$

As a check

(1 × 125 ) + (3 × 25 ) + (3 × 5 ) + 4 = 219