Will a 1024 X 768p resolution support High Definition?

Answer 1

Screen resolutions are usually just noted as [width] x [height] without the p. With the p it's usually used to show which standard is meant. Like 720p, 1080i or 1080p.

That aside. The most known terms for HD is 'HD Ready' and 'Full HD'. The former being a resolution of 1028 x 720 and the latter being 1920 x 1080.

So, if you mean if your screen has the right size, no. However all, with possibly a rare exception, media players can down scale it so you can still watch higher resolution video's. It just looks a tiny bit less good. Since it is hyped so much, try to find a screen with a sticker telling you it's either HD ready or Full HD.

Any WXGA, SXGA, 2K, UXGA, WUXGA, WQXGA or QSXGA (all standards like HD and your XGA screen) screen has a resolution higher than 720p and will do fine.