Image processing: floating point number to fixed point number

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Reference material
The following method is to convert floating-point numbers to fixed points , It is used in extracting image brightness information

Floating point number calculation formula

Y  =  0.299*R + 0.587*G + 0.114*B;
Cb = -0.169*R - 0.331*G + 0.5  *B ;
Cr =  0.5  *R - 0.419*G - 0.081*B;

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Fixed point number calculation formula ： First expand the decimal to an integer , Then divide by shifting

Y 	=	(77 *R 	+ 	150*G 	+ 	29 *B)>>8
Cb 	=	(-43*R	- 	85 *G	+ 	128*B + 32768)>>8
Cr 	=	(128*R 	-	107*G  	-	21 *B + 32768)>>8