4. A minority function F is generated in a combinatorial circuit by making the output equals 1 when the number of 1s is ODD and equals 0 when the number of 1s is EVEN. a. Draw the truth table for a 4-input function. (F is a function of inputs A,B,C,D) 10pts b. Simplify using Karnaugh map. Find the expression. 5pts (5pts bonus if you represent the logic in NAND-only or NOR-only logic) c. The minority function machine is connected to a flip-flop that switches ON a lamp only when F = 1, otherwise it is in OFF state. Draw the entire logic circuit (you can draw the combinational part as a single block but all parameters and arrows have to be shown). Hint: lamp is ON when output of flip-flop is 1. 15pts