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Codiode/Problems/Combinational Logic

Full Adder Using Only NAND Gates

MediumLogic CircuitBuild

Hardware synthesis tools frequently map arithmetic logic down to a standard cell library composed entirely of NAND gates. Verifying a synthesized netlist requires understanding how high-level arithmetic translates into fundamental universal gates.

The circuit must compute the sum and carry-out of three 1-bit inputs: A, B, and Cin.

| A | B | Cin | Sum | Cout | |-----|-----|-------|-------|--------| | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 1 | 0 | | 0 | 1 | 0 | 1 | 0 | | 0 | 1 | 1 | 0 | 1 | | 1 | 0 | 0 | 1 | 0 | | 1 | 0 | 1 | 0 | 1 | | 1 | 1 | 0 | 0 | 1 | | 1 | 1 | 1 | 1 | 1 |

Constraints

  • Use only 2-input NAND gates.
  • Do not use XOR, AND, OR, or NOT gates.
  • Implement both Sum and Cout logic.

Topics

ArithmeticNAND UniversalityNetlist Verification

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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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