
Is there a name for this notation?
Posted:
Oct 8, 2011 2:08 PM


Long ago, I came across a book that mentioned a particular notation for writing numbers in terms of sums of powers of some base, but *not* in the conventional form.
For example, using 2 as the base and comparing to decimal:
1 = 2^0 => "0" 2 = 2^1 => "1" 3 = 2^1 + 2^0 => "10" 4 = 2^2 => "2" 5 = 2^2 + 2^0 => "20" 6 = 2^2 + 2^1 => "21"
and so forth. Obviously there is no way of writing zero, and the order of the digits is arbitrary: I could have written either "12" or "21" for decimal 6.
Unfortunately I have forgotten all details about this except the basic notation, including the name of the book.
Is there a name for this notation, is it useful for anything, and where might I find out more about it?
Thanks in advance,
 Steven

