begin{center}
  begin{tikzpicture}[circuit logic US]
    % The two gates
    node[xor gate, inputs={nn}] (xor) at (0,1) {};
    node[and gate, inputs={nn}] (and) at (0,0) {};

    % XOR input wires
    draw (xor.input 1) --++(left:1cm);
    draw (xor.input 2) --++(left:1cm);

    % Drawing the nodes to be connected with the AND gate inputs
    draw (xor.input 1) node[left=4mm](a) {};
    draw[fill] (a) circle (0.02);
    draw (xor.input 2) node[left=7mm](b) {};
    draw[fill] (b) circle (0.02);

    draw (and.input 1) -| (a);
    draw (and.input 2) -| (b);
  end{tikzpicture}
end{center}