This method allows you to have the best resolution up to 1080p with the HDMI cable. The signal is digital so its clearer and more precise. Digital is always the way to go. And don’t buy the Microsoft Cable, they suck, they only support analog signals unless the only signal your screen supports is analog.
Here is the website i mentioned in the video:
VGA HD/AV Cable (XBOX 360)
Standard HDMI to DVI Cable
Standard stereo audio cable (Xbox 360)