Four. (#11) A desktop laser printer has a 300-pixel-per-inch resolution. a. If e

Question

Four. (#11) A desktop laser printer has a 300-pixel-per-inch resolution. a. If each pixel is stored in one bit of memory, how many bytes of memory are required to store the complete image of one 8-1/2 by 11-inch piece of paper? ___________ b. The laser printer product manager does not want to be upstaged by the screen product manager, and wants the printer to have 32 levels of gray (well, actually 30 levels of gray, plus black and white). How much memory is required to store the 8-1/2 by 11-inch sheet image now? _________

Explanation / Answer

Paper size = 8.5 x 11inch

Pixel per inch = 300 means 1 inch square (1 X 1) contains 300 x 300 pixels.

So, 8.5 x 11 inch means (8.5 x 300) x (11 x 300) pixels

=2550 x 3300 pixels

Total pixels on the sheet = 2550 x 3300 = 8415000

Each pixel = 1 bit of memory,

So 8415000 pixels are stored in 8415000 bits of memory

8 bits = 1 byte

So 8415000 bits = 8415000 / 8 byte = 1051875 bytes

      =(1051875/1024) KB

          =1027.22168 KB

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32=2x2x2x2x2=2^5

So 32 grey levels mean 5 bit color

So the memory required is 5 times than previous as previously it was 1 bit color

So memory required 1027.22*5=5136.1 KB

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