A color space used to create color on a computer monitor or a television screen is RGB color space. However, RGB color space is strongly related to each other, therefore RGB color space is inadequate for adjustment of brightness or contrast. Moreover RGB color space is not suitable for pattern recognition. For this reason, it is needed that color space conversion from RGB to YIQ, YUV or YCrCb. The color space conversion matrix consists of 3 by 3 matrix element that is represented by floating point numbers. However RGB or YUV color space is in integer domain. Therefore these transform lead to lose the least significant bit (LSB) of color space. We propose the simple and fast reversible transform matrix. No lose the least significant bit (LSB) and not required multiplication but shift and addition that provides for real time conversion of huge image.