Calculating Capacity Of Video Adapter Memory Board

Calculating Capacity Of Video Adapter Memory Board
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Computing devices must output the result of the processing of data input inorder to be useful. In modem computing, the contents displayed on the output screen come from the video adapter board memory (graphics board memory).
(a) How much memory should a video adapter board have in order to display 640 x 480 resolution color graphics at 3 bytes per pixel?
(b) If 800 x 600 resolution is desired is the memory calculated in (a) sufficient if 3 bytes per pixel is also desired?

The strings: S₇P₁A₁₃ (containership - area).

The math:
Pj Problem of Interest is of type containerdhip (area).

(a) Rasterization:partitioning of the screen into horizontal lines called raster lines constituted by dots called pixels (picture elements) is at the core of color graphics display. In other words, the screen is a rectangular array of pixels. This array of pixel is mapped into the video adapter board memory as bit-pixel (each pixel has a variable bit capacity with 1 bit as minimum). The number of bits per pixel is referred to as the color depth or color resolution and the relation between number of colors and bits per pixel is as follows:
Number of colors = 2^{number of bits per pixel}. 8 bits = 1 byte.
Information given in problem (a) implies that there is a total of 640 pixels horizontally and 480 pixels vertically.
So, total pixels = 640 x 480 = 307,200 pixels
So, total bytes = 3 x 307, 200 = 921,200 bytes
So, video adapter board needs 1 million bytes = I Mega bytes of memory.

(b) Total pixels = 800 x 600 = 480,000 pixels
Total bytes at 3 bytes per pixel = 3 x 480,000 = 1,440,000 bytes 1 .44 Mega bytes
So, a 1 Mega-byte video adapter memory is insufficient.
Bytes per pixel have to be reduced to 2 in order to use the video adapter board at 800 x 600 resolution.

Math

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