Instructions Use gate-level combinational logic for questions 1 through 1.5 Use gate-level sequential logic for questions 16 through 31 Show the design details and the finalized logic circuit schematic for each question Questions 1) Design a BCD to Excess-3 code converter. 2) Design a half adder 3) Design a full adder 4) Design a 4-bit adder; next revise your design to implement the 4bit adder with carry look- ahead 5) Design a 4-bit subtractor using the 4-bit adder: incorporate a control input to use the same circuit for either addition or subtraction 6) Design a binary multiplier for two two-bit (unsigned) binary numbers: consider using the half adder circuitry in your design. 7) Design a four-bit by three-bit binary multiplier: consider using the 4-bit binary adders in your design 8) Design a four-bit magnitude comparator. 9) Design a three-to-eight line decoder 10) Design a two-to-four line decoder with enable input 11) Design a 4x16 decoder constructed with two 3x8 decoders 12) Design a four-input priority decoder 13) Design a two-to-one line multiplexer