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jmc

number theory junior

Problem

Convert

85 2_{9}

to base 10.

Solution

We have that

85 2_{9} = 8 (9^{2}) + 5 (9^{1}) + 2 (9^{0}) = 8 (81) + 5 (9) + 2 (1) = 648 + 45 + 2 = 695

.

Final answer

695