I've been looking into the math behind converting from any base to any base. This is more about confirming my results than anything. I found what seems to be my answer on mathforum.org but I'm still not sure if I have it right. I have the converting from a larger base to a smaller base down okay because it is simply take first digit multiply by base you want add next digit repeat. My problem comes when converting from a smaller base to a larger base. When doing this they talk about how you need to convert the larger base you want into the smaller base you have. An example would be going from base 4 to base 6 you need to convert the number 6 into base 4 getting 12. You then just do the same thing as you did when you were converting from large to small. The difficulty I have with this is it seems you need to know what one number is in the other base. So I would of needed to know what 6 is in base 4. This creates a big problem in my mind because then I would need a table. Does anyone know a way of doing this in a better fashion.
I thought a base conversion would help but I can't find any that work. And from the site I found it seems to allow you to convert from base to base without going through base 10 but you first need to know how to convert the first number from base to base. That makes it kinda pointless.
Commenters are saying I need to be able to convert a letter into a number. If so I already know that. That isn't my problem however. My problem is in order to convert a big base to a small base I need to first convert the base number I have into the base number I want. In doing this I defeat the purpose because if I have the ability to convert these bases to other bases I've already solved my problem.
Edit: I have figured out how to convert from bases less than or equal to 10 into other bases less than or equal to 10. I can also go from a base greater than 10 to any base that is 10 or less. The problem starts when converting from a base greater than 10 to another base greater than 10. Or going from a base smaller than 10 to a base greater than 10. I don't need code I just need the basic math behind it that can be applied to code.