Digit
Jan30-04, 04:09 PM
Digit has {b} ; b is the count of symbols
b is the base of the digit and is the symbol count
b symbols
1 0
2 0,1
3 0,1,2
...
The symbol count is necessary. The symbols can be any set of marks.
If you count and come to the end of the symbols you have, there are 3
choices:
1: give up
2: make another symbol
3: add another digit
If you add another digit you must have a carry mechanism and your digits make a polynomial in b.
It is easy to show that any multi digit number can be made into a single digit by choosing a new base that is old b to the digit power.
I make machines that do math. Anyone interested in this kind of stuff?
b is the base of the digit and is the symbol count
b symbols
1 0
2 0,1
3 0,1,2
...
The symbol count is necessary. The symbols can be any set of marks.
If you count and come to the end of the symbols you have, there are 3
choices:
1: give up
2: make another symbol
3: add another digit
If you add another digit you must have a carry mechanism and your digits make a polynomial in b.
It is easy to show that any multi digit number can be made into a single digit by choosing a new base that is old b to the digit power.
I make machines that do math. Anyone interested in this kind of stuff?