6. (6 pts) Consider the following Boolean function: F (xy z). (x+y'+z). (x'+y'+z') For this question, do not use gates with inverted inputs, e.g. show it explicitly. a. Implement it using only NAND gates and inverters? Draw the logic circuit. Assume your NAND gates can have or . If you need an inverter, up to four inputs. Redraw the circuit using only 2-input NAND gates. Hint: First, convert to 2-input gates. Then convert to NANDs b