Discussion
What is the octal equivalent of (F3B1) hexadecimal number?
Answer: C
The octal equivalent is 171661.
Write each hex digit as 4 bits, then regroup the bits in threes from the right:
\[ \begin{aligned} \text{F3B1} &= 1111\ 0011\ 1011\ 0001 \\ &= 1\ 111\ 001\ 110\ 110\ 001 \\ &= 1\,7\,1\,6\,6\,1 \end{aligned} \]
As a check, both equal 62385 in decimal. The other options do not convert back to F3B1.
Converting through binary is the safe route between hexadecimal and octal, because each hex digit is exactly four bits and each octal digit exactly three.
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