Here is the conversion formulas. I think it  is  easy to implement.  

RGB to YUV Conversion Formula

Y = 0.299 * R + 0.587 * G + 0.114 * B

U'= (B - Y) * 0.565

V'= (R - Y) * 0.713

YUV to RGB Conversion Formula

R = Y + 1.403 * V

G = Y - 0.344 * U - 0.714 * V

B = Y + 1.770 * U