How does one represent values in base-64 strings? Actually, the
question is, what is the process of converting numerals from other
bases to base 64 -- without using any library functions in any
programming environment like .NET's Convert.ToString(byte[], int base)
or Convert.ToBase64String? How does one do it on paper?
Going by the name, and the sparse documentation, I guess it is a system
of representing numeral values where the logarithmic base is the number
64.
I pondered, like the binary system is base 2, it has two value
representations -- 0 and 1. The decimal, base 10, has 10 value
representations - 0 to 9. These we know of as digits of that system. In
the base 64 system, the value representations, or digits, would then be
0 to 63. Wait a minute! But anything 10 or upward is already two
digits. OK, that is so because I am representing them in base 10. So,
the question is: what is that sample set of tokens which form the
digits of base 64?
