Editing Location arithmetic (section)

==== Addition ====

Location numerals allow for a simple and intuitive algorithm for addition:

# join the numerals end-to-end
# when necessary, rearrange this conjoined numeral's digits so they are in ascending order
# abbreviate this rearranged and conjoined numeral

For example, to add 157 = '''acdeh''' and 230 = '''bcfgh''', join the numerals end-to-end:

: '''acdeh''' + '''bcfgh''' → '''acdehbcfgh'''

rearrange the digits of the previous result (because the digits of '''acdehbcfgh''' are not in ascending order):

: '''acdehbcfgh''' → '''abccdefghh'''

and abbreviate the previous result:

: '''abccdefghh''' → '''abddefghh''' → '''abeefghh''' → '''abffghh''' → '''abgghh''' → '''abhhh''' → '''abhi'''

The final result, '''abhi''', equals 387 ('''abhi''' = 2<sup>0</sup> + 2<sup>1</sup> + 2<sup>7</sup> + 2<sup>8</sup> = 1 + 2 + 128 + 256 = 387); this is the same result achieved by adding 157 and 230 in decimal notation.