1. An image processing apparatus comprising: a determining unit that determines whether image data includes multi-valued drawing information for drawing a multi-valued image; a multi-valued drawing unit that draws the multi-valued image of the image data when the multi-valued drawing information is determined to be included in the image data; a less-than-multi-valued drawing unit that draws a less-than-multi-valued image of the image data when the multi-valued drawing information is not determined to be included in the image data; a value-count reducing image processing unit that reduces number of values of a drawing result of the multi-valued image to generate an image with a fewer number of values; and a less-than-multi-valued encoding processing unit that encodes a drawing result obtained by drawing the less-than-multi-valued image and encodes the generated image with the fewer number of values.