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Convert 241 in base 5 to base 8,


Question

Convert 241 in base 5 to base 8,

Options

A) 718

B) 1078

C) 1768

D) 2418

The correct answer is B.

Explanation:

2415 = 2 x 52 + 4 x 5 + 1 x 5 + 1 x 5o
50 + 20 + 1 = 7110
Convert 7110 to base 8
\(\begin{array}{c|c} 8 & 71 \\ 8 & 8 R 7\\8 & 1 R 0\\8 & 0 R 1\end{array}\)
= 1078

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Dicussion (1)

  • 2415 = 2 x 52 + 4 x 5 + 1 x 5 + 1 x 5o
    50 + 20 + 1 = 7110
    Convert 7110 to base 8
    \(\begin{array}{c|c} 8 & 71 \\ 8 & 8 R 7\\8 & 1 R 0\\8 & 0 R 1\end{array}\)
    = 1078

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