How do I draw a logic circuit in Fritzing?

You can make a neater schematic with different parts. Here I used the 4071 multi version and the 7404 from this post (which both have schematic subparts)

The subpart type parts allow you to move a single element of the gate around like this:

the wires don’t end in the center of the pin because both these parts are properly configured with a schematic terminalId so the wire ends at the end of the pin not the middle. Here is the sketch that produced the above image.

Sketch.fzz (36.4 KB)

Peter