Decimal to Octal
Octal representations frequently appear in UNIX file permissions and legacy hardware documentation as a compact way to group bits. The algorithm for converting a base-10 integer to base-8 uses repeated division by the target radix, sharing the exact same mathematical structure as decimal-to-binary conversion.
The conversion of the decimal value 520 to octal generates a sequence of quotients and remainders.
Trace the repeated division process for the decimal value 520. Determine the resulting base-8 representation and evaluate the significance of zero-valued remainders during the conversion.
Constraints
- Assume unsigned integer conversion.
- Read remainders from bottom to top to form the final octal value.
Topics
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