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Given an RGB color scheme where an individual color in the full bitmap uses 5 bi

ID: 3562038 • Letter: G

Question

Given an RGB color scheme where an individual color in the full bitmap uses 5 bits for the Red component, 4 bits for the Green component, and 6 bits for the Blue component: sidenote( the instructor gave us a picture of the game icon Super Mario and the picture has 6 differet colors. The resolution is 20 by 18. I dont know if any of this is relevent to the two questions that i am asking)

b. What is the color depth of this image?

c. Calculate the storage size required for the full bitmap of this image. Give the answer in bits and bytes.

Explanation / Answer

Color depth of the image:-

            The number of bits used to represent the color of a single pixel is called as color depth.

Number of bits used for Red = 5

Number of bits used for Green = 4

Number of bits used for Blue = 6

Now, color depth = 5 + 4 + 6 = 15 bits

storage size required for the full bitmap of this image:-

Depending on the color depth, a pixel in the picture will occupy at least n/8 bytes, where n is the bit depth.

Therefore, size = W * H * n/8

Where W = width = 20

H = height = 18

n = color depth = 15

size = 20 * 18 * 15/8 = 675 bytes

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