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