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BTW, I don't think removing the saturation from yellow makes it white. I'm thinking of a black and white TV show for instance. All the colors reduce to various shades of gray when the color is removed,
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Have a look at the diagram in
http://www2.ncsu.edu/scivis/lessons/...els2.html#hue.
Pure yellow (or green, blue, red, etc ...) has an value (lightness) of 1. This implies that reducing the saturation turns it into white.
Now, if the value is less than 1 (r=200,g=200,b=0 for example), then reducing the saturation turns it into grey.
some formulas:
http://en.wikipedia.org/wiki/HSV_color_space
http://www.easyrgb.com/math.php?MATH=M21#text21