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All drives use two cables...one for power & one for data. The 3 common data cables in use these days are SCSI, IDE (aka PATA) & SATA. I assume you're asking about IDE/PATA. It doesn't matter if the cable is flat, round or anything in between...if it has 40-pin plugs, it's an IDE cable. Some only support one device, some support two devices. IDE can NOT support more than two devices per channel...one device MUST be master & the other MUST be slave. The jumpers on the rear of the devices MUST be set accordingly or they will not work.
Newer IDE cables have a blue plug (motherboard), gray plug (slave) & a black plug (master). If you have two devices & both are set to "cable select", whichever drive is on the gray plug becomes the slave. If you use the actual "master" or "slave" jumper settings, it doesn't matter which plug the device is connected to.
The plugs on older cables are usually all black. If that's what you have, use the master or slave setting...do not use cable select. Also, some HDD have specialty jumper settings for master (single) or master (w/slave). This is common with Western Digital drives...the settings are usually printed on the label on the drive.
That being said, the best way to transfer data from one HDD to another is to have them on different cables/channels rather than both connected to the same cable. That is why I suggested temporarily disconnecting the CD/DVD & using that cable. If that's what you plan to do & there are no other devices on the cable, make sure the old HDD is jumpered to either master or master (single). Then bootup, enter the BIOS & make sure the old HDD is properly recognized. Assuming it is, simply boot into Windows. If the drive isn't recognized in Windows, you may have to play around with Disk Management. You may also have to "take ownership" to be able to transfer any files.