Convert 112(_6) to a number in base three

Convert 112(_6) to a number in base three

Correct Answer: Option D

Explanation

First, convert to base 10
112(_6) = (1 x 6(^2)) + (1 x 6(^1)) + (2 x 6(^0))
= 36 + 6 + 2
= 44(_{10})
(begin{array}{c|c} 3 & 44 \ hline 3 & 14 & r 2 \ hline 3 & 4 & r 2 \ hline 3 & 1 & r 1 \ hline 3 & 0 & r 1 end{array})
Ans = 1122 = D

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