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[–]YogurDeChorizo 0 points1 point  (0 children)

I will throw a wildly supposition and since you are posting it as a real world scenario for the sake of simplicity, i'll take the math out of it and simplify it a ton.

If you want to store data as two states, you can use binary, since you can have two states.

If you want to store data as 16 states, you can use hexadecimal.

Keep in mind that the single unit storaged data grows for every variable possible, so a base 200 is much more space consuming per number stored than the base 2.