Adding 1080p files to a DVD

I am planning to add some 1080p MKV files to a DVD+RW. I know I will probably have to convert them to a different format so that players can read them, but what format would you recommend I use and how should I go about it? Also I am wondering about the quality loss. To my understanding there will be a loss in quality, but will it be that significant? I want the video to look good, but I would like to use DVDs because I don't think my computer (Dell Inspiron N7110) can write to Blu-ray discs. And since that's the only way to put the files onto a Blu-ray (without buying a recorder for it) I am planning on using DVD+RW discs. Please give me any insight you can and help answer as many of my questions as you can. Any help will be appreciated.

Most DVD players these days can play dix/xvid videos... some CAN play MKV but not many, I would use a converter to convert your MKV files to a divx file.

Aleesoft Free MKV Converter - MKV Video Converter, Convert MKV Video Free

Thanks, but what about the quality, will there be a significant decrease?

Thanks!