Thanks to everyone, I think I have enough info to try and build a physical circuit on a breadboard at this point without having all the parts explode on me.
I used the 470ohm resistor because I wanted to make sure the LED turned on, and I need at least 20ma to do that, so by using the 470 I would make sure to have enough for it to light. If I went to a 560 or higher resistor then the LED wouldn't get the 20ma needed to light.
I also like the comment about only driving a LED using the buffer circuit. Initially I was thinking about having all the gates be able to drive an LED, but in practice that wouldn't be normal, the gates output would only need enough current to drive other gate inputs, so that makes sense.
I used the 470ohm resistor because I wanted to make sure the LED turned on, and I need at least 20ma to do that, so by using the 470 I would make sure to have enough for it to light. If I went to a 560 or higher resistor then the LED wouldn't get the 20ma needed to light.
I also like the comment about only driving a LED using the buffer circuit. Initially I was thinking about having all the gates be able to drive an LED, but in practice that wouldn't be normal, the gates output would only need enough current to drive other gate inputs, so that makes sense.


