How do you go about creating a number system?

I've researched number systems, but I'm still not sure how I would make one of my own. Are there steps to follow? Anything in particular that I have to take into consideration? Thanks.How do you go about creating a number system?
First you need to decide what base your number system will be in. You can choose to make it conform to the intervals of the logical world, and have an integer base (such as 2, 8, 16 like binary, octal and hexadeciamal respectively) - then you need to have an idea of symbols to represent your number system - or you could just use 0-9 and go into the alphabet - maybe a greek alphabet if you want.





What you also could do, is make a Transcendental number system based off 蟺 or e, or make up your own number (I recommend one that you get from some cool formula rather than one you just make up) - and say 1 lots of it or 2 lots of it. Radians is its own number system with 蟺s (e.g. 3蟺/2) - though this would technically be still the old number system.





Why would you want to make your own anyway?How do you go about creating a number system?
Each position is the next power of the system.


e.g. in the normal system base 10: their are 10 symbols:0 to 9


and say 12345. means 1x (10 pwr 4 =10 to the 4th=10,000) + 2 x (10 pwr 3 =1000)+ 3 x (10 pwr 2=100) + 4 x (10 prw 1 =10) + 5 x (10 pwr 0 =1)





So system base b :12345. means 1x (b pwr 4 =b to the 4th) + 2 x( b pwr 3) + 3 x (b pwr 2) + 4 x (b prw 1 =b) + 5 x (b pwr 0 =1).





e.g. base 6: so b=6:


say 12345.base 6 means 1x (6 pwr 4 =6 to the 4th=1296) + 2 x( 6 pwr 3 =216)+ 3 x( 6 pwr 2=36) + 4 x( 6 prw 1 =6) + 5 x (6 pwr 0 =1)=


thus: 12345base 6= 1x1296+2x216+3x36+4x6+5x1=1865base 10


Note base 6 system can only have 6 symbols i.e 0 to 5.


so 7 base 6 has no meaning; neither has 6 base 6.


7 base 10=11 base 6 and 6 base 10=10 base 6.









What's a number system?