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Codiode/Problems/Arithmetic

Signed Overflow Detection

MediumLogic CircuitBuild

ALUs rely on condition flags to inform the control unit about the results of mathematical operations. Signed overflow indicates that a two's complement addition or subtraction result has exceeded the maximum representable bounds of the data width.

The overflow flag can be determined directly by observing the carry signals at the most significant bit (MSB) position.

| Cin | Cout | Overflow | |-------|--------|------------| | 0 | 0 | 0 | | 0 | 1 | 1 | | 1 | 0 | 1 | | 1 | 1 | 0 |

Constraints

  • Combinational logic only.
  • Derive the output using only the provided Cin and Cout inputs.

Topics

ArithmeticALULogic Gates

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Place the gates, wire them up and watch the signals settle. Every submission runs on the same simulation engine that grades it.

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