Question: Part 1. 1) Design a Combinational Logic Circuit with three inputs; x,y,z, and one output; F. The output should be a logic 1 whenever the

Part 1.

1) Design a Combinational Logic Circuit with three inputs; x,y,z, and one output; F. The output should be a logic 1 whenever the three input bits, in its decimal (or base 10) representation, either a perfect square (1, 4, 9, 16, etc) or a perfect square plus one. Recall that with three bits we can only represent positive integers from 0 to 7.

2) Define a truth table for your problem, write the list of minterms, and write the system logic function as a canonical sum of minterms.

3) Simplify your logic function using properties and write it as a minimized sum of products.

4) Implement using a two-level AND-OR logic circuit.

5) Implement using a NAND-NAND circuit.

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