Convert 726 to a number in base three - JAMB Mathematics 2012 Question
Convert 726 to a number in base three
A
2211
B
2121
C
1212
D
1122
correct option: d
First, convert to base 10
726 = (7 x 61) + (2 x 60)
= 42 + 2
= 4410
\(\begin{array}{c|c} 3 & 44 \ \hline 3 & 14 & r 2 \ \hline 3 & 4 & r 2 \ \hline 3 & 1 & r 1 \ \hline 3 & 0 & r 1 \end{array}\)
Ans = 1122 = D
726 = (7 x 61) + (2 x 60)
= 42 + 2
= 4410
\(\begin{array}{c|c} 3 & 44 \ \hline 3 & 14 & r 2 \ \hline 3 & 4 & r 2 \ \hline 3 & 1 & r 1 \ \hline 3 & 0 & r 1 \end{array}\)
Ans = 1122 = D
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