This is a continuation of my earlier question. The CDs are burning with a .cda or .cdda format I read the articles suggested, but I don't yet have an answer. The files I am trying to burn are not protected. They are personal recordings.

There is no "cda format" - this is just how Windows Explorer shows the tracks on an audio CD that can be played on any CD player. When you use iTunes to burn a playlist to an audio disc, it creates a standard "Red Book" disc, converting the format of the files within the iTunes library to 16/44.1 audio (albeit without recovering any of diminished quality of mp3 or aac data). If you want to create a CD that contains the files from iTunes, in the format in which they exist in the library, you should use the MP3 CD or Data CD selection from the iTunes Burn Settings dialog.

I have no player that can handle a .cda or .cdda format.

Yes you do. It is called a "CD player." They are found in homes and cars all over the world. Try your disc in one of them.