In 2008 mathematician and author Michael S. Schneider put together a video explaining how mathematics used by Ancient Egyptians is identical to the math used in computers today.
The Ancient Egyptians figured out how to do multiplication without memorizing times tables, and how to do long division without using half boxes.
Modern man used Ancient Egypt's mathematics to build computers! The Ancient Egyptians multiplied mostly by repeated doubling and adding, sometimes also by using ten as an intermediate multiplier when it was more convenient.
This way, they avoided the need to learn multiplication tables.
In the past, this method was seen as awkward because it was different from the way we do our longhand multiplication. (in fact it's much closer to the way our binary computers work ;)
Take a moment to watch the video by Michael S. Schneider below. (it basically teaches you binary math without using the word binary.)
video:
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