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You can't make XOR out of NOT alone. Mathematically, NOT takes only a single argument, and its gate, an inverter, takes a single input. There's no way to combine two inputs giving a single output with one input gates. You need some two input gates to do the job. They can be AND, OR, NAND, NOR, or some combination, but you need something. That said, they don't have to be IC gates; you can combine two inputs with diodes to make an OR gate, so you could make XOR with only inverters and diodes, i.e. no other gate symbols on your schematic, but it would mot be making XOR out of NOT.

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