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 second — 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,…
- A.
16 frames per second
- B.
19 frames per second
- C.
21 frames per second
- 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
Count the pixels: N = 640 × 480 = 307,200 pixels.
Convert the access time: t = 200 nanoseconds = 200 × 10−9 seconds per pixel.
Find the frame time: T = 307,200 × 200 × 10⁻⁹ seconds = 0.06144 seconds.
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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