Variably number based system
I've been playing around with different based number systems for fun, just to see what patterns emerge. After playing around I wondered what I like happen if you had a variably number based system! I'm away on vacation bet when I get home I plan on writing a simple program to emulate this.
Description:
A number based system at which works with a changeable base. After reaching a particular numbers positions end it will change its base. This will of need rules which could be the following:
Rule 1) the number base changes according to what the neighbor to the left is. When the "Tens place" (as we usually call it) is 0 the ones base is 10. When the tens is 1 the ones base is 16.
Rule 2) each numbers position is not under the same base patterns. The tens base can run a pattern the ones are not. (For the sake of simplicity we will use the same for our example)
Example:
•If tens is 0 ones base = 10
•When ones place exceeds 9
•Number now would be 10
•One place now has a base of 14 and tens has base 10
•when tens place exceeds 9 hundreds place becomes 1 with a base of 10, tens place is 0 with tens base and ones is zero with tens base
This example the all run the same pattern as the bases change.
Benefits:
I'm actually looking for the community to help me find some benefits but the 2 I'm seeing right off is:
Thank you for reading and please comment with your thoughts.