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## Main Question or Discussion Point

Ok, I am currently taking a course where you have to draw state diagrams to represent functions in different bases. the function is [tex]2x_{1}+x_{2}[/tex]. When you add two numbers regardless of the base you have a sum (least significant digit) and a carry. Now in base one, is it possible to have a carry greater than "1" since all you are dealing with is "0"s and "1"s?

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