Octal to Binary via Grouping
Embedded systems often utilize octal representation to condense binary streams into readable formats where 3-bit alignment matches specific hardware registers. Because 8 is a power of 2, octal and binary share a direct structural equivalence.
The data provided includes an octal value 752 and a binary sequence 110101110.
Expand each octal digit directly into its 3-bit binary equivalent. Group the binary sequence into 3-bit chunks to derive the corresponding octal value. Determine the converted values without routing the calculation through base 10.
Constraints
- Do not use intermediate decimal conversions.
- Maintain strict 3-bit grouping per octal digit.
Topics
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