How to change bases?

[toml_12953]

(04-08-2019 12:44 AM)Don Shepherd Wrote:  

(04-07-2019 02:45 PM)kevin3g Wrote:  Say I have a number in base 3 and want to convert it to base 6 or any base conversion. How would I do this?

There may be a better way, but whenever I have written a base conversion program to convert from one base to another, if neither base is 10, I first convert the number to base 10, then to the other base.

To convert base 3 number to base 10, multiply digits by corresponding powers of 3 and add. To convert base 10 number to base 6, for example, divide the base 10 number by 6 and save the remainder, then divide the quotient by 6 and save the remainder, and repeat until quotient is 0. When you "save the remainders," first one is the rightmost digit of your answer.

To convert 45 base 8 to base 16 you could nest converts like this:

convert(convert([5 4],base,8),base,16)

which would put out [5 2] since 25 is the hex equivalent of 45 octal. I know the Prime has these bases built-in but the power of this method is that you can use any bases, not just 8 and 16.