Hex to Octal via Binary
Low-level system debugging frequently requires translating memory addresses and register states between hexadecimal and octal representations. The provided value is the hexadecimal string 0x7AC. Direct conversion between base-16 and base-8 is structurally incompatible due to differing bit-group boundaries. The translation must route through base-2. Map the hexadecimal digits to binary nibbles, regroup the bitstream into octal triplets, and determine the final base-8 value without utilizing decimal as an intermediate format.
Constraints
- Conversion must use binary as the sole intermediate step.
- Decimal (base-10) calculations are strictly prohibited.
- Binary strings must retain exact bit counts before regrouping.
Topics
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