PSP to TV

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It is possible to connect your PSP to your TV via RCA cables or HDMI. I will cover RCA first, because it is the easiest and cheapest method around. All you need is a cable with video and audio coming from your PSP to your TV in the three RCA cables. Just connect it to your TV and match up the red white and yellow together via your TV. You can purchase the cables via the shop.
PSP 2000/3000 - http://www.consolediscussions.com/fo...ct&productid=6
PSP Go - http://www.consolediscussions.com/fo...ct&productid=7

HDMI
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Honestly HDMI may not be for everyone. Since a PSP isn't an HD device, all you can do is buy a converter that upscales the PSP's signal, and attach it to your psp, then your HDTV. Now they aren't cheap either, at $90 they come with almost everything thing you need, minus a $15 cable.

I'm not currently selling this in the store, due to it not really having any portability, and for it not being cheap, considering how it is made. However you can pick one up from Amazon:
http://www.amazon.com/PSPHD42-Conver.../dp/B0038AERAI