Question

What is the maximum number of frames per second (round down to a whole number) that this system can display in 16,777,216 simultaneous colors at a resolution of 1920 x 1080?

Answer 1

Here, we are having in a total of 1920 X 1080 pixels per frame.

i.e Total number of pixels we are having in 1 frame= 1920*1080 = 2,073,600 pixels

Total simultaneous colours a system can display (no. of colours displayed by each pixel) = 16,777,216

Bits required by each pixel to represent such no. of pixels = = 24 bits or 3 bytes ( 1 byte = 3 bits )

So, Frame Size = Total pixels per frame * Size of each pixel = 2,073,600 * 24 = 49,766,400 bits or 6,220,800 bytes or 5.93 MB

Data consumed by video per second = FPS * ( Frame Width )

Now, depending upon the bandwidth of the system or display, the maximum number of frames per second may change,

Bandwidth >= Data consumed by video per second [ bandwidth should be greater because a system could not fetch more pixels until it is provided by the system, which is determined by the bandwidth]

Bandwidth >= FPS * ( Frame Width )

FPS <= Bandwidth / ( Frame Width )

Hence, max. FPS = Bandwidth / ( Frame Width )

FPS = Bandwidth (in MBPS) / (5.93 MB)