# Color Depth is the length of the binary code that is used to encode the color of a pixel. The number of colors N

Color Depth is the length of the binary code that is used to encode the color of a pixel. The number of colors N in the palette and the depth i of the color are related by the ratio: N = 2i (i is the degree). Complete the task: Calculate the amount of video memory required to store a graphic image that occupies the entire monitor screen with a resolution of 640×480 and a palette of 65536 colors (N – palette, K – resolution, I – volume).

Solution:

We will use the formulas N = 2 ^ i and I = K * i.

It is known that N = 65536 colors, K = 640 x 480 pixels.

Color depth i showing how many memory cells are reserved for color encoding, and the number of shades N are related by the formula N = 2 ^ i.
Find i:

65536 = 2 ^ 16, i.e. i = 16

Let’s calculate I – the amount of video memory:
I = 640 pixels * 480 pixels * 16 bits = 4915200 bits

Let’s convert bits to kilobytes:

4915200 bits: 8 bits: 1024 bytes = 600 KB