Ancient Egyptian Mathematics
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Stumble ThisVery interesting on how advanced the ancient Egyptians were in their mathematics.
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binary,math,ancient,egyptian,chinese,math,mathematics,michael schneider Ancient Egyptian Mathematics
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That should look familiar. You end up doing it exactly like a regular third grader would do multiplication - just in binary. So saying that computers work this way is a bit misleading. And, yes, there is implicit multiplication tables involved. It just might not seem that way because the binary multiplication table is (naturally) very short.
"Sciences and arts seem to have been in place at the very beginnings of Egypt." -The dude in the beginning of that video
"Ancient Egypt developed over at least three and a half millennia. It began with the incipient unification of Nile Valley polities around 3150 BC." -Wikipedia
The world presents us with no numbers. If we grossly categorize things we can use unary(base 1, think counting on your fingers). All bases are pure and arbitrary abstractions.
While many argue "using base ten follows from having ten fingers", that would technically give us base-11(0-10 fingers). Also consider that, since we are using an arbitrary base anyway, we could use 64(the number you can count to on your fingers of one hand in binary).
One of the nice things about being multi-base conversant, is that it's easy to see how arbitrary and unnatural any of these decisions are. base 60 (think sec/min min/hr) or base 12(think mo/yr hr/day) are used regularly with analog devices, because these bases work better for these purposes. The fact that we label these devices with digital numbers does not effect their non-base-10 function.
We just think of everything in base-10 by default and assume that the world works that way, even though we regularly and unknowingly use systems and technology which rely on other bases.