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Codiode/Problems/Combinational Logic

BCD vs Binary: Identify the Valid Code

EasyLogic CircuitAnalyze

Binary-Coded Decimal bridges the gap between hardware arithmetic and human-readable seven-segment displays. The system receives six 4-bit data words: 0101, 1001, 1010, 1100, 1111, and 0000. Classify each 4-bit pattern as a valid BCD digit or an invalid BCD state. Determine the decimal equivalent for the valid codes and identify why the invalid codes fail the BCD specification.

Constraints

  • Analyze each 4-bit word independently.
  • Assume standard 8421 BCD encoding.

Topics

BinaryNumber SystemsBCDEncodings

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