Task 2: 2-bit adder Design and build a circuit that can add together two 2 -bit numbers (with a carry-in). Figure 1 illustrates this in two ways: symbolically and with a specific numeric example. Figure 1: 2-bit addition with a carry-in. Left side shows this symbolically. Right side provides a specific numeric example. Figure 2 provides the logic circuit for a full adder (or a 1-bit adder). Use this schematic as the basis for your design. In order to make a 2-bit adder, you will need two full adders that are connected in a special way. In LogicWorks, build your design first as logic gates (to verify that it works), then with chip schematics (for ease of wiring). Figure 2: Logic circuit jor u juir unuer In report: - Describe the objective. In the process, explain how binary addition works. - Describe and illustrate your design process. Place a special emphasis on the connection between longhand addition and how your 2-bit adder is constructed. - The formal design process would have included a truth table. How many rows would be needed in that truth table? Discuss the pros and cons of the formal design process and the process used here