This convention was herited by electronic computers having a fixed number of " binary " digit positions but no sign . talk ) 17 : 45, 30 January 2010 ( UTC ).
12.
It is also possible that there may be a carry out of this digit position ( for example, in pencil-and-paper methods, " 9 + 5 = 4, carry 1 " ).
13.
Accordingly, all digit positions other than the rightmost need to take into account the possibility of having to add an extra 1, from a carry that has come in from the next position to the right.
14.
A non-zero " numeral " with more than one digit position will mean a different number in a different number base, but in general, the " digits " will mean the same.
15.
The lexicographical order on this set is a well ordering that resembles the ordering of natural numbers written in decimal notation, except with digit positions reversed, and with arbitrary natural numbers instead of just the digits 0 9:
16.
These locations are often so small and remote that it is not practically possible to transfer all mail to a larger three-digit locations . five-digit position locations are usually in the archipelago and in the mountains.
17.
These combinations are enumerated by the 1 digits of the set of base 2 numbers counting from 0 to 2 ^ n-1, where each digit position is an item from the set of " n ".
18.
These combinations ( subsets ) are enumerated by the 1 digits of the set of base 2 numbers counting from 0 to 2 " n "-1, where each digit position is an item from the set of " n ".
19.
Non-modular multiplication can make use of carry-save adders, which save time by storing the carries from each digit position and using them later : for example, by computing 111111111111 + 000000000010 as 111111111121 instead waiting for the carry to propagate through the whole number to yield the true binary value 1000000000001.
20.
As with conventional decimal, each digit position represents a power of ten, so for example 123 is " one hundred, plus two tens, plus three units . " All positive integers that are represented solely with non-zero digits in conventional decimal ( such as 123 ) have the same representation in decimal without a zero.
