A computer can only really represent integers (0 and 1). [1]
Algorithms perform arithmetic operations with integers. [2]
Floating point numbers are expressed with integers. [3]
A ring has to deal with integers (I must have misread this).
[1] personal memory
[2] Discrete Mathematics and Its Applications with Combinatorics and Its Applications, 7th Ed, Kenneth Rosen
[3] http://cstl-csm.semo.edu/xzhang/Class%20Folder/CS280/Workbook_HTML/FLOATING_tut.htm
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