1747-UIC is a USB version of the 1747-PIC and is fully compatible with Windows 7, 8 and 10 (32 or 64 bit)
1747-pic direct replacement cable for Allen Bradley Programming Cable communication/programming the SLC 5/00, 5/01, 5/02 or 5/03
1747-PIC will not work with a USB adapter, you have to have a real serial port.
If use Windows XP service pack 3, please make some changes to your system, the 1747-PIC are not supported any longer by Rockwell, so RSLinx will not work.
The 1747-C13 cable is not needed as it is built as part of the cable.
You will also need RSLinx 2.53 or greater, RSLinx is free from Rockwell Automation (Allen Bradley) and can be downloaded.