Question 1b: (10 points) Design a circuit that has 6 input signals and 3 output signals. The input signals are A0, A1, A2, BO, B1 and B2. The outputs arento Cntl and Cn2. TheA0,A1, and A2signals come from one sub-circui and indicate that there are zero, one, or two inputs HIGH, respectively, of the signals going to the A sub-circuit. The BO, B1, and B2 signals come from a second sub-circuit, and indicate that there are zero, one, or two inputs HIGH of the signals going to the B sub-circuit. The signals Inl InN are the inputs to the A and B sub-circuits (some go to sub-circuit A and the others go to sub-circuit B). The Cnt0 output should be HIGH if none of the In1 to InN inputs are HIGH. The Cntl output should be HIGH if there is exactly 1of those inputs HIGH, and the Cnt2 output should be HIGH if there are exactly 2 of those inputs HIGH. Use only 2-input gates in your solution. B SubCircuit InN Cnt1 B1 Inputs Cnto A0 In1 A Subcircuit