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…
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.
You can do all of math in binary, it isn’t just for computers. In fact, the proof for “Russian Peasant Multiplication” was written in binary.
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.