2. Truth table for a half-adder is given in Table 1. Design a half-adder circuit on Logisim that has two inputs, A and B and produces the expected output for Sum and Carry out. You can use sum of products (SOP) to come up with your mathematical representation. In your design, employ logic gates, such as AND, NOT, XOR and OR. Table 1. Half-adder truth table Sum Carry out 0 0 10 1 00 0 Click on Project -> Analyze Circuit. Is the truth table correct? If not, fix your circuit. If so, what is the minimal sum of products (SOP) expression given for Sum under the Minimized tab? Click on Build Circuit and select the option to use NAND gates only. When you are submitting your Lab report, show your circuit (take a screenshot and paste it here) or draw the resulting simplified circuit in NAND gates. Save the result