Circuit Simulation Use LogiSim in order to construct and simulate the following circuits: i. Construct and simulate a circuit that will compute F(A,B) = AB + AB. The input and output pins demonstrated in class will enable you to test a simulation. Manually vary the pin input values using the 'poke tool' located in the Logisim base folder and observe the value of the circuit output. a. By varying the input values, build a truth table based upon the results of your simulation. b. Check your results by comparing them to the output of a two input XOR gate as provided in the Logisim circuit library. ii. Using a suggested design from your class notes, construct and simulate a 2-to-1 multiplexor. Compare your results with a 2-to-1 multiplexor as provided in the Logisim circuit library. a. By varying the input values, build a truth table based upon the results of your simulation. b. Check your results by comparing them to the output of a 2-to-1 multiplexor as provided in the Logisim circuit library. iii. Using a suggested design from your class notes, construct and simulate a half adder (HA) and build a truth table from your simulation. iv. Using a suggested design from your class notes, construct and simulate a single full adder (FA), then build a truth table based upon your simulation. Use the help file/tutorial/user's manual to learn how to build a subcircuit for the single full adder. Circuit Simulation Use LogiSim in order to construct and simulate the following circuits: i. Construct and simulate a circuit that will compute F(A,B) = AB + AB. The input and output pins demonstrated in class will enable you to test a simulation. Manually vary the pin input values using the 'poke tool' located in the Logisim base folder and observe the value of the circuit output. a. By varying the input values, build a truth table based upon the results of your simulation. b. Check your results by comparing them to the output of a two input XOR gate as provided in the Logisim circuit library. ii. Using a suggested design from your class notes, construct and simulate a 2-to-1 multiplexor. Compare your results with a 2-to-1 multiplexor as provided in the Logisim circuit library. a. By varying the input values, build a truth table based upon the results of your simulation. b. Check your results by comparing them to the output of a 2-to-1 multiplexor as provided in the Logisim circuit library. iii. Using a suggested design from your class notes, construct and simulate a half adder (HA) and build a truth table from your simulation. iv. Using a suggested design from your class notes, construct and simulate a single full adder (FA), then build a truth table based upon your simulation. Use the help file/tutorial/user's manual to learn how to build a subcircuit for the single full adder