Image processing system and method for converting YCbCr data composed of luminance and chroma into RGB data of three primary colors

An image processing system, comprising:

• first conversion means having first multiplying means for producing a first product of a first color difference signal and a first multiplier using a fixed factor multiplication for executing a bit shift of input data of a binary multiplicand corresponding to bit values of a binary multiplier and for accumulating the bit-shifted data;
• second conversion means having second multiplying means for producing a second product of a second color difference signal and a second multiplier;
• and
• third conversion means having third multiplying means for producing a third product of the first color difference signal and a third multiplier and fourth multiplying means for producing a fourth product of the second color difference signal and a fourth multiplier,
• first image data composed of a binary luminance signal, a binary first color difference signal and a binary second color difference signal being converted into second image data composed of binary first, second and third chrominance signals,
• the third multiplying means including third product producing means for producing the third product by shifting a first intermediate product corresponding to a first partial bit string as a common part of bit strings of the first and third multipliers of the first product by a first predetermined bit number,
• the fourth multiplying means including fourth product producing means for producing the fourth product by shifting a second intermediate product corresponding to a second partial bit string as a common part of bit strings of the second and fourth multipliers of the second product by a second predetermined bit number.