After finally getting digits 0-7 to display, kid wanted to see the digits count. So, a bit more coding with NAND gates--implementing increment directly from a truth table. Finally, "lucky for you kid, I just happen to have a quad-input flip-flop and a 555 timer (as one does)."
So we finally ended up with this beautiful rat's nest of work, slowly counting digits.
Thus concluding the first lesson on "how do computers work?"