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Codiode/Problems/Combinational Logic

Hex Addition Without Decimal Conversion

MediumLogic CircuitAnalyze

Hardware engineers read memory addresses and register values directly in hexadecimal to avoid the cognitive overhead of decimal conversion. The expression below shows an addition operation between two 12-bit hexadecimal values.

0x8C7 + 0x95E

Perform the addition column-by-column natively in base 16. Determine the final sum and track the carry generated at each position.

Constraints

  • Perform all operations directly in base 16.
  • Do not convert the operands to base 10 to find the sum.
  • Assume unsigned integer representation unless otherwise specified.
  • Format all hexadecimal answers with the 0x prefix and uppercase letters.

Topics

arithmeticnumber-systemshexadecimal

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