If you have upgraded to iOS 7 Beta and you want to downgrade to iOS 6.1.3 or 6.1.4 then this post is for you. This tutorial can be used on iPhone 4S, iPod touch 5, iPhone 4 and the iPhone 5. It is a very simple process and all it involves is restoring the IPSW via iTunes like you regularly do on any iOS device.
In order to downgrade from iOS 7 beta you need to download iOS 6.1.4 for iPhone 5 or iOS 6.1.3 for iPhone 4S, iPhone 4 or iPod touch 5. Save the IPSW file to your desktop and make sure you have the latest version of iTunes installed on your PC or Mac. Even though Apple says you can't downgrade from iOS 7 beta, you can downgrade to the last publicly released firmware for your device. You can't downgrade back to iOS 6.1.2 from iOS 7 on the iPhone 5, iPhone 4S and iPod touch 5. If you have an iPhone 4 you can if you have your SHSH blobs and APTickets saved for 6.1.2 or below firmware.
So here's what you need to do to downgrade. First you need to connect your iPhone to your PC and launch iTunes. Select your device from the pane on the left. On the main scree of iTunes you should see two buttons; one says �check for updates� and the other says �restore iPhone�. You need to click on restore iPhone. When a new window opens, point it towards the IPSW file you downloaded for your iPhone and then click on Restore. Itunes will then verify the IPSW firmware file with Apple and your device will restore.
This process may take a little while so be patient. Once done, your device will have iOS 6.1.3 or 6.1.4 running.
If you receive a �Fix iTunes error 3194� message here is what you need to do: If you are running windows you need to go to Windows > System32> driver/etc. If you are on OS X simply head over to etc. A file named hosts will be present in this folder and you need to copy this to your desktop. Right click this file and open it in a text editor. Scroll all the way down and locate the line saying �74.208.105.171 gs.apple.com�. All you have to do is put an # sign before this. This will stop this command from being executed when the restore process is being completed. When you are finished just save the file and then copy it back into the etc folder.