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jmc

number theory junior

Problem

Convert

1010 1_{3}

to a base 10 integer.

Solution

1010 1_{3} = 1 \cdot 3^{4} + 0 \cdot 3^{3} + 1 \cdot 3^{2} + 0 \cdot 3^{1} + 1 \cdot 3^{0} = 81 + 9 + 1 = 91

.

Final answer

91