A graphic display system has a frame buffer that is 640 pixels wide, 480…

2018

A graphic display system has a frame buffer that is 640 pixels wide, 480 pixels high, and has a color depth of 1 bit per pixel. If the average access time for each pixel is 200 nanoseconds, the refresh rate of the frame buffer is approximately:

Answer: A. 16 frames per secondCONCEPT For a raster display, one complete frame requires accessing every pixel once. If a frame contains N pixels and each pixel takes t seconds to access,…

  1. A.

    16 frames per second

  2. B.

    19 frames per second

  3. C.

    21 frames per second

  4. D.

    23 frames per second

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Correct answer: A

CONCEPT

For a raster display, one complete frame requires accessing every pixel once. If a frame contains N pixels and each pixel takes t seconds to access, the frame time is T = N × t and the refresh rate is f = 1/T.

Color depth affects storage size, but it does not add another factor here because the problem already gives the access time per pixel.

APPLICATION

  1. Count the pixels: N = 640 × 480 = 307,200 pixels.

  2. Convert the access time: t = 200 nanoseconds = 200 × 10−9 seconds per pixel.

  3. Find the frame time: T = 307,200 × 200 × 10⁻⁹ seconds = 0.06144 seconds.

  4. Take the reciprocal: f = 1/0.06144 = 16.276… frames per second.

CROSS-CHECK

At 16 frames per second, one frame takes 1/16 = 0.0625 seconds, which is close to the calculated 0.06144 seconds; the small difference is due to approximation.

Therefore, the refresh rate is approximately 16 frames per second.

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