First of all there is a simple number system, a circle with 4 points each representing a binary digit. This system is used to represent base 10 as well as base 16. Even in Dscript base 16 is rarely used so the user will have to use some kind notation to distinguish between hexadecimal and decimal (might I suggest simply using a Dscript D or H under to above the numbers). Without a notation it should be assumed that any number using these symbols is decimal.
Secondly, there is a base 12 system. One might wonder What good is base 12? Think about it, 12 hour clocks and 12 months in a year. because this system is a clockwise cycle it provides a much more intuitive way to describe 12 stage cycles such as hours or months.
Thirdly, there is a base 32 system. This might seem excessive, but once again, if you consider that all months have a maximum of 31 days this can easily be used to represent days of the month. Additionally base 32 offers the possibility of replacing base 10 to represent numbers, especially large numbers. Base 32 may seem like a very difficult system to employ practically but with a little creativity it can be adapted to suit our base 10 minds quite efficiently. The second decimal place in base 10 represents 10, the third 100s, etc.. the second "decimal place" of base 32 represent 32s, the third represents 1024s, the fourth 32,768s, etc... This may seem way to complicated to use but if you drop the last 24 values of the third digit, then it becomes, 32, 1000, 32000, 1000000, etc... Thus every three digits of decimal can be reduced to 2 digits of base 32. In order to use this system one only needs to memorize the 31 multiples of 32 (0, 32, 64, 96, 128, 160....). Once memorized it simply requires some practice to use the system fluently.
The simplest practical application of the three number systems is a date. I personally find it best to represent day in base 32, month in base 12, and year in base 10.
eg. August 18 2010
BASE 10 / 16(assume base ten unless specifically indicated)
I actually do not require strict attribution as the licence indicates. I realize the "puzzle" value would be lost I will galdly provide express exemptions for your projects Please contact me at firstname.lastname@example.org