Question:
$(217)_8$ is equivalent to
$(217)_8$ is equivalent to
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To convert base-8 to base-16, go via base-10 or group bits if preferred; remember hex values A–F.
Updated On: May 26, 2025
- \((6F)_{16}\)
- \((8E)_{16}\)
- \((8F)_{16}\)
- \((143)_{16}\)
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The Correct Option is B
Solution and Explanation
First, convert from octal to decimal:
\[
(217)_8 = 2 \cdot 64 + 1 \cdot 8 + 7 = 128 + 8 + 7 = 143_{10}
\]
Now convert decimal to hexadecimal:
\[
143 \div 16 = 8 \text{ remainder } 15 \Rightarrow (8F)_{16}
\]
But 15 = E in hex, so the correct representation is \((8E)_{16}\)
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