How much memory in kilobytes should be allocated for storing a 640×480 pixel raster image

How much memory in kilobytes should be allocated for storing a 640×480 pixel raster image if there are 256 colors in the image palette?

Given:

N = 256

K = 640 * 480

I =?

1. Let’s find the informational weight of one symbol i, applying the formula: N = 2 ^ i.

i = 8 bits since 2 ^ 8 = 256.

2. The information capacity of the file is calculated by the formula: I = K * i.

I = 640 * 480 * 8 bit

3. It is known that:

1 byte = 8 bits,

1 KB = 1024 bytes.

Therefore: I = 640 * 480 bytes = 307200 bytes = 300 * 1024 bytes = 300 KB.

Answer: For storing a raster image with a size of 640×480 pixels of a 256 color image, you need to allocate 300 KB.