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(Laws and Theorems of Boolean Algebra) Demonstrate that a 2-input NOR gate is a universal...

(Laws and Theorems of Boolean Algebra) Demonstrate that a 2-input NOR gate is a universal logic element. You can do this by showing how they can be used to make: NOT, AND, OR, and XOR gates. Remember that each input of the NOR gates must be used, it can not be left unconnected. Is an XOR gate a universal logic element? Why or why not? What about a 2-input NAND gate?

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