I hope I said that right. I'm trying to follow along with a convolution example but maybe I am in over my head. I don't understand how in this example they get the values on the right. For example, I would think when n=0 the result would be 0*0 not 1*2.

I got it.
the 1 is x[0] and the 2 is h[0] which if you look at the impulse response h[0] is 2. the 3 is x[1] and the 2 is h[0]
etc.