Abstract: Disclosed is a method and apparatus for displaying (simulating) grayscale images on a monochrome LCD screen particularly with an objective of providing a comfortable displaying effect that presents no blinking of dots to the user's eyes. In the method, the grayscale image is divided into a sequence of pages of image data each having an array of dots equal to the resolution of the grayscale image such that each pixel on the grayscale image corresponds to a sequence of dots respectively on the corresponding location on the N-1 pages of image data. Black and white colors are assigned to the dots in accordance with a color assignment algorithm that allows the black and white colors to be evenly distributed. When the pages are displayed in succession at a fast rate on the monochrome screen to simulate grayscale image, the black dots or white dots appear evenly on each page so that blinking of dots would not present to the user's eyes.