Question: Consider the circuit alongside, implementing a function F(X, Y, Z) on three variables. (a) (7 points) Give the truth table for the function. Include

Consider the circuit alongside, implementing a function F(X, Y, Z) on three variables. (a) (7 points) Give the truth table for the function. Include the intermediate outputs A, B, C, D and E. Then simplify it using a Kmap. (b) (5 points) Implement it again using one 4-1 MUX and minimum number of extra gates. Show your work. Full adder A sum B Cout 1 Cn Decoder Y 00 01 Z 10 1 En 11 (c) (3 points) Implement it again using one 3-8 decoder and one OR gate.

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