If you're finding yourself confronted with the '0x80832003' error code whilst using your Xbox console try not to worry, you're most certainly not alone. Thankfully, this particular error issue is very common and isn't particularly difficult to resolve.
First of all, 0x80832003 is a fairly transient issue that's related to Xbox Live services, therefore waiting a bit and then trying again later should see you right for the vast majority of occasions it occurs.
However, if you're still concerned, you can jump online and check the current status of Xbox's services by heading to this page and then signing into your account. Here you can check handy live status notifications that give you all the info you'll need as to the current state of Xbox Live, its various features and functionality.
If you're seeing problems here you've likely found the answer to your issue. In the meantime you can choose to play your games offline - where possible - in order to circumvent any online issue until they are resolved. You can find a guide on playing your games offline here.