Most of us have little trouble working out how many milliliters are in 2.4 liters of water (it's 2,400). But the same can't be said when we're asked how many minutes are in 2.4 hours (it's 144).
In positional systems, as mentioned earlier, the number represented is multiplied by the base each time you move to the left of a position and is always divided by the base each time you move to the ...
The Kakeya conjecture predicts how much room you need to point a line in every direction. In one number system after another — with one important exception — mathematicians have been proving it true.
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