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When 30(10) = 1E(16) and 100(10) = 1a(64), what is the result of 199(10) = x(100)?

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2 Answers

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To write numbers in base $100$ you need $100$ different "digits", starting with $0$ and ending with whatever represents $99$. I would use the (base $10$) numbers $0, \ldots, 99$ for the digits, so, for example the number $12345$ (in base $10$) is $(1)(23)(45)$ in base $100$. You just group the ordinary digits in pairs, starting from the right.

So $199$ would be $(1)(99)$.

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I think I'm the only one that does this, but what I do is use $[\dots ,cc, bb, aa]$ notation. For example

$12345_{10} = [1,23,45]_{100}$.

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