27. For this problem, you are going to design a circuit that controls one LED (you pick the LED) of a 7-LED digital duodecimal (i.e., base-12) display. For this problem, assume that inputs of 12 through 15 result in no LED being lit. 21 22|z4|23 25 26 27 0123456789 Ab (a) Complete the truth table below: A B C D state of LED 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 (b) Draw the Karnaugh map for this circuit, and draw circles as appropriate. In order to get full credit, you must draw the largest circles possible and have no unnecessary / redundant circles. (c) Finally, give the simplified form of the circuit as a Sum-of-Products. Note: You need only give the products that correspond to each circle in the Karnaugh map. Please do not simplify the expression further