In these forums, we encourage our members to discuss backing up copyright protected materials that they own. Or shifting formats for their own use. But downloading copyright protected materials without permission of the copyright owners is not a subject for discussion here.
In this particular case, we have no evidence that the DVD in question is an illegal download, so this discussion can continue. There are many videos available online that are perfectly legal to download and convert.
So my advice is to get a free video conversion program called VidCoder if you wish to convert a DVD-video to mpg4 (H264).
If you would prefer an avi using xvid codec instead of H264, I would suggest using AutoGK, or VideotoVideo. Both of those are free to use.
If your tv can play mpeg2 it would be much faster to use a program called Vob2mpg. There would be no loss of quality either. But you don't mention whether your tv can play that format. Vob2mpg has a free version that would work perfectly well, or there is an alternative free program called DVDVob2mpg, which works in a similar fashion.
I'm assuming you are starting with DVD-video, since it is contained within a Video_TS folder (not a file). You'll need the entire DVD-video structure, which means this Video_TS folder containing all the .vob, .bup and .ifo files.