# Number System Conversion

Medium

6

7.4% Acceptance

Convert a number, represented as a sequence of digits in one base, to any other base.

Implement general base conversion. Given a number in base `a`

, represented as a sequence of digits, convert it to base `b`

.

### Example

#### input: convertDigitsToAskedBase([5, 8], 10, 16)

#### output: [3, 10]

`convertDigitsToAskedBase([5, 8], 10, 16)`

is passed to the convertDigitsToAskedBase function i.e `58`

in base `10`

as [5, 8] in array is passed and asked to convert to base `16`

which is `310`

. This should be returned in array as [3, 10].

### Note

[3, 10] is not other than [3, 10] is because 3 and 10 both are valid digits of base 16

[3, 1, 0] is **WRONG** because even though 1 and 0 are valid digits of base 16 it can be represented as 10 without taking the 3rd place.