Part 1 In this part, we will design a complete circuit for a few comparison functions (on 2-bit integers). The function takes 2 2-bit inputs (let's call these a0, al and b0, bl) and has three outputs (let's call these 1, g, and e). The l output is 1 if the 2-bit integer in ala0 (a0 being the least significant bit) is less than blb0, and 0 otherwise. The g output is 1 if ala0 is greater than blb0, and 0 otherwise. The e output is 1 if ala0 is equal to blb0, and 0 otherwise. The process you will use is outlined below 1. 2. 3. Create a truth table for the four inputs and three outputs. Fill in the truth table, using your own understanding of less than, equal, and greater than From the truth table in part 1, create a Boolean expression for each of the outputs, in terms of a0, al, b0, and b1 Simplify this Boolean expression using any of the techniques we've learned Create the equivalent digital circuit design using a software tool (see below). Be sure to label the inputs and outputs. Ideally, the inputs should be on the left side (or the top) and the outputs should be on the right side (or bottom), for clarity 4. Recommendation: Use LogiSim (http://www.cburch.com/logisim/) to draw a circuit. Export the digital circuit design as an image (or take a screenshot, if export is not supported), which should then be imported into this document, along with all of your other answers for this assignment Part 2 Choose one of the following options Option 1 Design a circuit with at least 4 inputs to calculate any function you like. Use the same strategy as you used for part 1 to design the circuit Examples * Design a circuit to subtract 2 2-bit binary numbers . Design a circuit that has inputs for whether or not one of four keywords was present in the E-Mail and an output indicating whether or not the message is spam