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4. (16 pts) Given the Boolean function F-x'y'z'+ x'yz' + Xy'z + xyz a) List the truth table. b) Draw the logic diagram using the original Boolean expression c) Simplify using Boolean algebra. d) List the truth table of the simplified expression and show it is equivalent to the original. e) Draw the logic diagram of the simplified function and compare the total number of gates to part (b). f) Redraw the logic diagram using only 2-input NANDs and inverters. g) Find the complement F of the simplified expression from part (c) h) Draw the logic diagram of the result from part (g)