a) (10 pts) Construct a 3-to-8 Decoder using only two 2-to-4 Decoders and one inventer. b) (20 pts) Using an appropriate size of ROM and 3-bit numbers as inputs, desing a combinational circuit that calculates multiply by 2, if the input number is odd and divide by 2 if the input is even. Define the size of ROM. (PS: For 000 case, output should become zero) Solution a) Suppose that 3 inputs are A, B, and C. A BC DO 2 to 4 D1 Decoder 2 to 4 Decoder D2 D3 D4 If the most significant input A is connected to inverter, outputs become in order. Which is not necessary. Other inputs may connect to inverter, but in this time, order of outputs will change. D5 D6 D7 (Proper circuit and labels: 10 pts) Activate Wind Go to Settings to