
A video game displays images on your monitor having a full HD resolution (1920x1080 pixels). Each
pixel contains R, G, B LED's, and each LED is controlled to shine at one of 256 levels. The game produces a new image on the screen 25 times per second. How many megabytes (MB) per second are being sent to your monitor while you are playing your game?

Ответы на вопрос

Ответ:
1920x1080 = 2073600 pixels in FHD screen
1 led have 256 levels = 1 Byte
1 Pixel have 3 color = 3 * 1 Byte = 3 Byte
1 FHD picture is 2073600 pixels * 3 Byte = 6220800 Byte
If the picture change 25 times per second
6220800 Byte * 25 = 155520000 Byte in second
or
155520000 Byte : 1024 = 151875 Kb in second
or
151875 Kb : 1024 = 148,3 Mb



To calculate the number of megabytes per second being sent to the monitor, we need to consider the number of pixels, the number of bits per pixel, and the number of times the image is refreshed per second.
First, let's calculate the total number of pixels on the screen: Total pixels = width x height Total pixels = 1920 x 1080 Total pixels = 2,073,600
Next, let's calculate the number of bits per pixel: Number of bits per pixel = 8 bits per color x 3 colors (R, G, B) Number of bits per pixel = 24 bits
Now, let's calculate the total number of bits per second: Total bits per second = Total pixels x Number of bits per pixel x Refresh rate Total bits per second = 2,073,600 x 24 x 25 Total bits per second = 1,488,384,000 bits per second
Finally, let's convert the total bits per second to megabytes per second: 1 byte = 8 bits 1 megabyte = 1,048,576 bytes
Total megabytes per second = Total bits per second / (8 x 1,048,576) Total megabytes per second = 1,488,384,000 / 8,388,608 Total megabytes per second ≈ 177.83 MB/s
Therefore, while playing the game, approximately 177.83 megabytes per second are being sent to your monitor.


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