When you're done there you can move on to mixed-radix notations. In fixed-radix the value of each digit place is a fixed multiple of the place to its right (ten for decimal, sixteen for hexadecimal, eight for octal, two for binary...). In mixed-radix the steps are uneven in size.
I kid: you're already familiar with them. Think years, months, days, hours, minutes, seconds. Or miles, yards, feet, inches. Or hundred-dollar notes, fifty-dollar notes, twenty-dollar notes, ten-dollar notes...
If you don't mind not being able to represent zero (except with an empty string), another fixed-radix positional system has digits [1..n] instead of [0..n-1] which is usual for base n. Dyadic has two digits, 1 and 2. The numerals continue: 1, 2, 11, 12, 21, 22, 111, 112, 121, 122, 211, 212, ... The radix is the same as for binary: 122 = 14+22+2 = ten.
Then there are the other bases for a positional system: -2, 1-i, Fibonacci (a mixed-radix system where the radices are integer approximation to powers of (sqrt(5)+1)/2)...