Do Blu-Ray Drives also Upconvert Standard DVDs??

I recently bought a lot of blu ray movies to watch on my PS3 and HDTV, but I also want to watch them on my comp. Im lookin at gettin an all-in-oneBlu Ray drive, because it will play BD, DVD, CD, and burn CD/DVDs, as well as lightscribe, but DO BD DRIVES UPCONVERT? i have a load of standard DVDs and I want to make sure a new drive will upconvert those as well. been poking around Newegg, looking at their top 4 or 5 blu ray drives, but nowhere does it mention upconversion...