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Roku's new Express + seems to be to boost performance of 1080p TVs. My TV is a SAMSUNG 37" 720p LCD HDTV - LN37A450 made in 2008. I don't know if it's a 1080p or predates that. (Nothing on back but that 720p in the title makes be think it's not.) Should I get the Express + or would it be useless or even less than useless.
The native resolution for your LN37A450 is 720p, but it can accept signals in 1080i (not 1080p), per this Crutchfield page.
Flat screen tvs display EVERYTHING at their one native resolution. Their electronics will likely accept signals in other resolutions but will have to upscale or downscale to put the image on the screen. So if you feed the LN37A450 a 1080i signal from the Roku (the HDMI "handshake" when starting up will have told the Roku the TV does not support 1080p) you don't really gain anything because the TV will have to downscale it to 720p anyhow, and with each rescaling there is some loss in image quality.
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