2-bit adder and Multiplier
Well I'm not sure exactly what you're asking, but I'll try to be of some help. 

First, if you know how K-maps work, it'll make circuit simplification much easier. Jim Pytel does a much better job at explaining them than I could typing on an online message board

With that said, you cannot make an adder or multiplier with AND gates alone. You're going to need some more more gates. You're going to need to connect a half-adder and full adder like so. If you do not understand what these are, look at Wikipedia for a more thorough explination







simulate this circuit &ndash; Schematic created using CircuitLab

The multipler will be a bit more complicated. I'm not sure how large the multiplier will be. I suppose a 2-bit multiplier could be done easily with combinational logic on a breadboard. However, even that will take up a lot of space. What most people end up doing, especially with larger multipliers, is to make a sequential circuit instead, where they do multiplication as repeated addition sort of like you learned in grammar school. This requires that you perform an addition and save the previous result in flip-flops.