How do I convert QCP audio files from a cell phone to mp3 or wav

It depends on whether they were recorded phone conversations or just simple voice memos. Recorded phone conversations are specially encoded QCP files that can only be decoded by most non-smart cell phones and the few lucky people who have somehow gotten a hold of the decoder for an actual computer. The only way to get these recordings playable on a computer (and burned to a CD) is to get a two way stereo cable (most-likely a 2.5 mm to 3.5 mm cable unless your phone has a 3.5 mm headphone jack) and plug one end to your phone's head phone jack and the other end to your PC's mic jack, start a audio recording program (like Audacity), click the record button on the program and press the play button on the audio file on your phone and stop and save it once it's done playing.

Though, simple voice memos are not specially encoded and can be played on the computer using a program called QualComm PureVoice, which I think has a conversion feature on it to convert it to formats like wav and mp3.

I'm surprised no one else had an answer for this question or maybe not too many people know this.

The QCP file format is used by many cellular telephone manufacturers to provide ring tones and record voice. However, this Qualcom PureVoice (specifically a LG or Motorola recorded QCP file or QCP with TIA IS-127 Enhanced Variable Rate Codec, Speech Service Option 3 ) is not compatible with most media player and not supported by Windows and Mac. It will end in fail if you try to play the recorded QCP file with Windows Media Player, iTunes, QuickTime on Windows or Mac computer.

In order to successfully play QCP files anywhere, converting QCP to MP3/WAV/WMA will be a recommended solution.

Just google search Step by Step Guide on How to Convert QCP to MP3, WAV, WMA on Windows or Mac

You will find a detailed guide on how to convert QCP to MP3, it also applies to convert QCP to MP3, WAV, WMA, M4A, AAC, AC3, OGG, AIFF, ALAC, FLAC and etc.