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Whatever base system we use doesn’t matter. “3” represented in binary is “10” but that symbol still represents this amount of dots (…). All mathematical operations can be carried out in binary, hexadecimal or whatever, the end result is always the same and can be converted back to base 10. You can do addition and subtraction with your fingers and toes even, try it. Notice that some calculators have buttons to convert between bases.What if you were using the incorrect mathematics? Examples being: base 4 or base 7. Although every base is base 10, or 1, 0. We may have got it all wrong. It could literally be: 1,2,3,10,11,12,13,20, etc. If that was the case you would be using a flawed system and your measurement/theory would be fasified. So it’s not proven, it’s accepted as truth.