Question

If an image has only 4 colors, how many bits are necessary to represent one pixel’s color? Describe a new custom encoding that uses fewer bits to represent each color in the image. What is your encoding for each color? If you were to re-encode this image using your new encoding, how many bits would you save when compared to the 24 bit RGB encoding?

Answer 1

Answer:

1) 2 bits 2) shown in explanation 3) shown in explanation 4) 22 bits per pixel (2.75 bytes)

Explanation:

As a bit is one of two states, 1 or 0, 2 bits is sufficient to represent 4 colors:

00 = color 1

01 = color 2,

10 = color 3,

11 = color 4

This would be the custom type of encoding for that specific image as it only uses 4 colors.

Now to calculate the amount of memory saved, which is quite simple:

24-2=22

So you Would save 22 bits per pixel or 2.75 bytes per pixel.