Actually most analog TV's run 480i (aka EDTV or SDTV) and they can run a computer signal 640Hx480V 4:3 NTSC. however remember that that is interlaced so it is an effective resolution of 320x480. Older TVs ran at 300 lines. And it's all dependant on the quality of your signal, basic cable is still about ~250-300 lines. The thing is that these shows are actually recorded at 525i and you lose the outsaide edges after production. The final output is supposed to be 483i (720x483) by NTSC standard, but everyone seems to go along with the 480i (640x480) as a matter of practice. Also remember that the first scan line contains no picture, just data.
ACATS high definition format is 1080i 1922Hx1080(1125)H, but once again that is interlaced. 720P (1280x720) (progressive) is also considered HDTV but is rarely used for anything but broadcast (Fox and ABC's method of choice [which may change once a definitive broadcast standard is set {which may never happen}]) and movies.
Now that doesn't even include all the other non-Ntsc resolutions and even the 'rare' 540P and 960i ( other widescreen formats (promotoed by 'hollywood'))
Mos HDTV's only accept 1024x768 direct input from computers, but some of the larger and newer ones are incorporating 1280x1024 some even coming with DVI jacks along with the DB-15 which is common on Sat receivers (like mine).
Since we are talking about the X-box it's got the srttings for 480i (p?) and 1080i. So at EDTV/SDTV resolution the Xbox has to draw a VERY small number of pixels 480x640= 307200 pixels vs a 'normal' computer screen of 1024x768 = 786432; that's more than twice as many pixels.
A TV also has the advantage of edge blending/bleeding which makes the pictures look smoother (except when they aren't adjusted and sennt straight from a PC and NEED thatsharpness for definition, ever tried to read text? from a PC on TV. Compare to you PC)
The Xbox at SDTV levels can 'look' better than a PC game because it doesn't work as hard for the same picture and can cheat on the quality which the TV itself will make up for.
BTW, HDTV is simply a subset of DTV, but not All DTV TV's are able to show an HDTV signal properly.
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