This is the equation for converting radix. You can lookup optimal radix choice for more, I think? For fun, consider how much space a base 10 number takes in b

This is the equation for converting radix. You can lookup optimal radix choice for more, I think? For fun, consider how much space a base 10 number takes in binary. It takes about 4 bits with slack. Specifically, about 3.32 bits. Which is log(10)/log(2).