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number theory is the branch of mathematics concerning the mathematical properties of numbers and the relationships between various types of numbers. This tag should be used with questions regarding computer science topics which are presented from a number theory perspective or may involve number theory or whose answer could be or should be couched in number theory terms.
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Finding the values of x and y using base 8
I think the issue with your method is that your subtracts are neglecting to account for the carry values that happen during the addition. If we instead go right to left and account for carries, we get …