Why does a 100-pixel color image take up more space than a 100-pixel black and white image?

The reason a 100-pixel color image takes up more space than a 100-pixel black and white image is due to the amount of information each pixel holds.

1. Each pixel in an image holds color information. In a black and white image, each pixel only needs to hold information about one color: the shade of gray. This can be represented in just one byte, which can represent 256 different shades of gray.

2. In a color image, each pixel holds information about three colors: red, green, and blue. Each of these colors can have 256 different shades, so each pixel needs three bytes to represent a color image.

3. Therefore, a color image needs three times as much space to store the same number of pixels as a black and white image.

4. So, a 100-pixel color image will take up more space than a 100-pixel black and white image because it is storing three times as much information.