Can an SDTV work with HDTV Broadcasts?

Absolutely. SDTVs were specifically created to receive HDTV broadcasts, but what they do is reduce the resolution for 480i which is basically what a standard DVD movie produces. (Done so that anyone can afford a digital television). You have a tuner built into the TV that receives HD broadcasts, but downconverts them to "analog" so that it can be displayed on the SDTV. Another thing a lot of people aren't familiar with is that you can get HD Satellite or Cable boxes and connect them to any TV through a composite video cable (yellow). Say you had an HD in one room and an older analog set in another, or an SDTV in another room you can have an HD Satellite box in the main room, and have the same box in the other room, but just connect a coaxial or composite cable to the TV and still watch the HD channels, just not in HD resolution.