Significant binary Boolean operators [not given are the 5 inverse operations. For these change 0 to 1 and 1 to 0 on the right side of the | in the proper column [Sorry, I don't know how to make HTML do this right, so copy to a file and use your word processor to space out to proper columns.]

inputs| Boolean outputs x y | AND B C OR XOR
0 0 | 0 0 0 0 0
1 0 | 0 1 0 1 1
0 1 | 0 0 1 1 1
1 1 | 1 0 0 1 0