Surface mount components can be used to make:

• half adder (one XOR gate and one AND gate)
• full adder (two XOR gates, two AND gates, and one OR gate)
• an AND gate cascade of four (2 + 1 cascade of gates) or eight initial positions (4 + 2 + 1 cascade of gates), to be paired with some XNOR gates (probably soldered in pairs or quads just to make things easier)