I thought the issue was due to the binary representation of numbers like 0.1, 0.01, 0.001 being in fact non terminating fractions ala: 1/3 thus the longer the s

I thought the issue was due to the binary representation of numbers like 0.1, 0.01, 0.001 being in fact non terminating fractions ala: 1/3 thus the longer the system ran the more small amounts of round off error it accumulated but adding two incomplete fractions. I seem to remember this being the case in my numeric methods course, but maybe that was a different systme.