Hopefully the old and the new have the same cable connections,if so just undo the screws each side - remove the cables - slide the new one in - reattach the cables and screws and as lotvic says you get 'Windows found new hardware' popping up and then 'Installing your new hardware...etc'
I just wondered if I had to do anything with the jumper points at the back of the DVD writer/reader, master and slave comes to mind, not even sure what that means but I seem to remember doing something to the jumper connections when I had a CD rom and a DVD writer fitted on another PC I had many years ago
Just a warning. I suspect the DVD reader you are removing is old, and will come with a wide connector at the back... It will be IDE You'll need a similar drive to replace it. Most new drives are SATA, and you probably do not have that kind of connector. So, take care over what you buy. I'd suggest identifying the make & model of the old one (by taking it out is most reliable way, post it up here, and people more knowledgeable than me will find you a bargain replacement.
*The other has a CD reader and a DVD reader,
I want to take out the DVD reader and fit the DVD writer/reader in its place.*
Sounds like an old machine?
You will probably need a DVD RW with EIDE connections (wide data cable. D shape white molex power plug) as previously stated new DVD writers are SATA different connectors than your old machine so be careful when buying.
If you cannot get hold of the old type drive then you can purchase a IDE to sata adaptor
Having re-read your original post, "I want to take out the DVD reader and fit the DVD writer/reader in its place" maybe you are not purchasing a new DVD writer/reader, but are swapping it to different pc.
The good advice to check connection cable is valid, if one is sata and t'other ide. It didn't occur to me that they might be different.
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