Good evening,
I just finished sorting through the DS1307 RTC library that is incombatable with the Due, and I have successfully ported it to the due.
I ran one of the examples and was happily reading today's date and time from the external chip.
I have attached the modified library folder.
Also, I believe the examples are all in the old Arduino Sketch format. You may have to open them and do a save-as to a different location in order to get them to compile.
P.S, if you are using adafruit's DS1307 shield, be careful about the voltage being outputted on the I2C pins. I actually removed the pull-up resistors from mine and used my own resistors on a protoboard so that I could run 3.3V to the data pins.
Good Luck!
RTClib.zip (5.54 KB)