She sniffles again, but starts talking. Thinking about engineering stuff helps a bit. "So all the really complicated technology from our old world is built on electronic circuits. Those are made of thousands or maybe millions of tiny logic gates, arranged into patterns. Logic gates do stuff like this."
She pulls out the notebook again and draws what looks like a Y shape, but with a box in place of the junction. She writes "AND" inside the box, "IN1" and "IN2" at the top ends, and "OUT" at the bottom. Then she writes out a truth table for an and-gate.
"So one of the basic types of logic gates is an and-gate. It puts an electric current out through the output conductor only when both of the input conductors are powered. There are other types of gates like that: inclusive-or, exclusive or, not, not-and. When you combine enough of them, you can do math. When you combine even more, you can do fancy stuff like encoding and processing data. All of it runs on microscopically precise paths of electric currents."