this post was submitted on 17 Oct 2024
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So you can do all mathematical operations in binary, but you can't represent all numbers in binary like 0.3, which is a repeating number, and had the same issues as a number like 1/3 in decimal where you can't avoid rounding errors
It's worth noting that 1/3 is also a repeating number in binary. 0.01010101....
While 0.3 is in binary 0.0100110011001100...
I'm not sure what sort of point you think you're making but 0.0100110011 in binary is only 0.065% off from 0.3, but how often would you organically encounter 0.3?
Many fractions in decimal are also repeating numbers or very long trailing numbers, I especially encounter a lot when working with time which is base 60.