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Codiode/Problems/Combinational Logic

Debug Combinational: Incorrect Decoder Enable

MediumLogic CircuitDebug

Address decoders map binary addresses to specific memory banks or hardware devices. A 3-to-8 decoder takes a 3-bit input (A2, A1, A0) and activates exactly one of its eight outputs (Y0 through Y7).

Expected behavior:

| A2 | A1 | A0 | Y7 | Y6 | Y5 | Y4 | Y3 | Y2 | Y1 | Y0 | |------|------|------|------|------|------|------|------|------|------|------| | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |

Simulation shows that the circuit works correctly when A2=0, but fails when A2=1. For input A2=1, A1=0, A0=0, the circuit outputs Y4=1 and Y0=1 simultaneously. The lower half of the decoder is not being disabled correctly.

Inspect the circuit and correct the fault.

Constraints

  • Do not modify the internal logic of the two 2-to-4 decoder blocks.
  • The final circuit must use only standard logic gates to route the enable signals.

Topics

DecoderDebugFault Testing

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