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Quantitative Aptitude

Base Systems

The number of...

Question

The number of digits required to represent the decimal number 213 in base system 5 is

A

6

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B

3

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C

5

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D

4

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Solution

The correct option is D 4
Converting we get,
$\begin{matrix} 5 & 213 5 & 42 & 1 5 & 8 & 2 1 & 3 \end{matrix}$
$(213)_{10} \to (1321)_{5}$
So, 4 digit are required.

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