Given the NAND-Only XOR Circuit, Construct the NOR-Only XNOR Circuit Using Duality
Standard cell libraries often restrict designs to a single universal gate type to optimize lithography patterns.
The schematic shows a classic four-gate topology built entirely from NAND gates. The inputs are A and B, and the final output is Y. The intermediate nodes are N1 (driven by A and B), N2 (driven by A and N1), and N3 (driven by B and N1).
Apply structural duality to this topology. Replace every NAND gate with a NOR gate without altering the wiring. Determine the new Boolean function at Y and verify the transformation by evaluating specific input vectors.
Constraints
- Assume ideal standard 2-input NAND and NOR gate behavior.
- The structural wiring topology must remain exactly identical during the transformation.
Topics
Solve this problem
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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