Connecting to a DS1307 clock chip over I²C

I wanted to connect to a real-time clock for an upcoming project, but I had some trouble getting the communication to work. I've never used I²C before, so I thought it would be good to show the process of learning how this works. I remain a great fan of the Sigrok project, and once more Sigrok has helped me immensely in figuring out what I'm doing. Code will follow once I have the whole project working.