Firstly, you must know the half adder theory: its function, implementation, and possible designs. You can click here to go to the theory page. Using one of this possible designs, we can do the experiment by select the  voltage level for the input and see the resulted outputs.

 Procedure

1-  Using half adder applet, select your combination of the inputs A & B from 0's and 1's buttons using mouse click. Notice that the selected item is represented by a filled button while the other button remains with out filling.
 Hint: generally there are 2ⁿ possible inputs, where n is the number of inputs.

2- See the resulted output obtained by the led for the two outputs Sum and Carry.

3- Compare the calculated values with the theoretical results denoted in the truth table. 

Applet may take some time for loading , please be patient.