design an excess-2 code inverters( in excess-2 code 0 isrepresented by0010,1 is represented by 0011, 2 is represented by0100 etc) . the four inputs to the converter circuit (A,B,C,D)represent an excess-2 code decimal digit. assume that only inputcombinations represent th digits o through 9 can occur as inputs ,so that the six unused combinations are dont cares . Design your circuit using only two -, three-, and four -input NAND gates and inverters. try to minimize the number of gates and invertersrequired. the variables A,B,C,and D will be available from toggleswitches.any solution with 17 or fewer gates and inverters (notcounting the four inverters for the inputs ) is acceptable.