Convert 112\(_6\) to a number in base three

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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