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Pixel shader is a technology included in many video cards which allows programs to render more realistic lighting in 3d visualizations.

Many modern PC games require a certain amount of pixel-shader code within the video card. If you have such a game and it will not run due to a lack of a pixel shader, you will need to buy a new video card in order to play that game.

In some circumstances, merely updating the drivers will suffice. However, it is much more likely that you will need a new video card.

The number that follows pixel shading isn't a size, it is a version. Every version is backwards-compatible with all the previous versions, so the higher the better.

Basically it breaks down like this.

Pixel shader 1.1 = Supported by Geforce 3 and higher

Pixel shader 1.3 = Geforce 4 and higher

Pixel shader 1.4 = Radeon R200 & up

Pixel shader 2.0 = Radeon R300 & up

Pixel shader 2.0b = Radeon R420 and Geforce FX and up

Pixel shader 3.0 = Radeon R520, Geforce 6 and 7 series

Pixel shader 4.0 = Radeon R600, Geforce 8 and 9 series

So if you had a geforce 7 series, you would be able to run any game which required pixel shader 1.1 thru 3.0 but not a game which required 4.0

Most of the modern games out there right now are requiring 3.0 at the most, it is not difficult to find a video card which has this for under $100.

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