a colorsapce doesn't have a bit deep but a DVD is 8 bit.
if you do math with pixel you can end up with fraction so you need more bit deep to store these result accurately or you will get side effect like banding.
the "colorspace" used on DVD is usually BT 601 and what was the name SMPTE 170M there was more i can't remember EBU or something. so you have to check first what it is the sample was matrix bt 601 and primaries SMPTE 170M.
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