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Codiode/Problems/Combinational Logic

Debug a Full Subtractor with Wrong Borrow Expression

MediumLogic CircuitDebug

A full subtractor performs multi-bit subtraction by computing the difference and borrow-out of two 1-bit inputs and a previous borrow-in.

Expected behavior:

| A | B | Bin | Diff | Bout | |-----|-----|-------|--------|--------| | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 1 | 1 | | 0 | 1 | 0 | 1 | 1 | | 0 | 1 | 1 | 0 | 1 | | 1 | 0 | 0 | 1 | 0 | | 1 | 0 | 1 | 0 | 0 | | 1 | 1 | 0 | 0 | 0 | | 1 | 1 | 1 | 1 | 1 |

Simulation shows Bout = 0 for inputs A=0, B=1, Bin=0. The borrow output is incorrect under specific conditions. Inspect the circuit and correct the fault.

Constraints

  • The circuit must correctly implement the full subtractor truth table.
  • Do not modify the logic path generating the Diff output.
  • Use standard basic logic gates (AND, OR, NOT, XOR).

Topics

ArithmeticDebugCombinational Building Blocks

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