%\usetikzlibrary{circuits.logic.US}

\begin{tikzpicture}[circuit logic US,
                    tiny circuit symbols,
                    every circuit symbol/.style={
                                                 fill=white,draw}
                   ]
\matrix[column sep=13mm, row sep=3mm] {
                   & \node [and gate, inputs=iin] (axyZ) {}; &  \\
	\node (X) {X}; & \node [and gate, inputs=ini] (axYz) {}; &  \\
	\node (Y) {Y}; & \node [and gate, inputs=nii] (aXyz) {}; &  \node [or gate, inputs=nnnnn] (oF) {}; \\
	\node (Z) {Z}; & \node [and gate, inputs=nin] (aXyZ) {}; &  \\
                   & \node [and gate, inputs=nnn] (aXYZ) {}; &  \\
};

\draw (X.east) -- ++(right:3mm) |- (axyZ.input 1);
\draw (Y.east) -- ++(right:6mm) |- (axyZ.input 2);
\draw (Z.east) -- ++(right:9mm) |- (axyZ.input 3);

\draw (X.east) -- ++(right:3mm) |- (axYz.input 1);
\draw (Y.east) -- ++(right:6mm) |- (axYz.input 2);
\draw (Z.east) -- ++(right:9mm) |- (axYz.input 3);

\draw (X.east) -- ++(right:3mm) |- (aXyz.input 1);
\draw (Y.east) -- ++(right:6mm) |- (aXyz.input 2);
\draw (Z.east) -- ++(right:9mm) |- (aXyz.input 3);

\draw (X.east) -- ++(right:3mm) |- (aXyZ.input 1);
\draw (Y.east) -- ++(right:6mm) |- (aXyZ.input 2);
\draw (Z.east) -- ++(right:9mm) |- (aXyZ.input 3);

\draw (X.east) -- ++(right:3mm) |- (aXYZ.input 1);
\draw (Y.east) -- ++(right:6mm) |- (aXYZ.input 2);
\draw (Z.east) -- ++(right:9mm) |- (aXYZ.input 3);


\draw (axyZ.east) -- ++(right:9mm) |- (oF.input 1);
\draw (axYz.east) -- ++(right:6mm)  |- (oF.input 2);
\draw (aXyz.east) -- ++(right:3mm)  |- (oF.input 3);
\draw (aXyZ.east) -- ++(right:6mm)  |- (oF.input 4);
\draw (aXYZ.east) -- ++(right:9mm)  |- (oF.input 5);

\draw (oF.east) -- ++(right:3mm);
\end{tikzpicture}