Specify the minimum amount of memory, in kilobytes, sufficient to store any 256×256 pixel raster image

Specify the minimum amount of memory, in kilobytes, sufficient to store any 256×256 pixel raster image, if the image is known to use a 256-color palette.

Given:

N = 256

K = 256×256 dots

To find:

V -?

Decision

V = k * i (formula for finding the amount of graphic information information)

Where, k is the number of pixels in the image

k = 256 * 256 = 65536

i – Information volume of 1 pixel (measured in bits) and is found by the formula:

N = 2 ^ i

Where N is the number of colors in the image

256 = 2i

2 ^ 8 = 2i (from the rules of mathematics we know that if the bases are equal, then the degrees are equal)

I = 8 bits

V = k * I = 65536 * 8 = 524288 bits = 65536 bytes = 64 kbytes

Answer: The minimum memory size is 64 KB.