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“can I have saturation?”
“yes but only on satur-day”
Luma july?
Am i doing this right?
Almost.
Here, I converted your image so that Cb and Cr (blue-complement and red-complement chroma) channels are constant, and only Y (luma) carries any image data, just like the flag.
Black and white cannot be reproduced unless you adjust chroma to center in those places or allow luma to span outside the 0-255 range.