5 A bitmap image has the following resolution: 1140 × 1080 pixels. The image uses a colour depth of 24 bits. a Explain the term pixel. [1] b Explain the term colour depth. [1] c Calculate how many of these images could be stored on a 32-GiB memory stick. [3] d Describe how it would be possible to increase the number of these images which could be stored on this memory stick.

Computer Science

ScanSolve AI Answer

Step-by-step solution

5 steps

Part 1

a Explain the term pixel.

A pixel is the smallest individual unit of a digital image or graphic that can be displayed on a digital screen, typically represented as a tiny square of color.


Part 2

b Explain the term colour depth.

Colour depth refers to the number of bits used to represent the color of a single pixel in an image, determining the total number of distinct colors that can be displayed.


Part 3· 5 steps

c Calculate how many of these images could be stored on a 32-GiB memory stick.

9302 images
Steps:

  1. Calculate the total number of pixels per image

    1140 pixels × 1080 pixels = 1,231,200 pixels

  2. Calculate the size of one image in bits

    1,231,200 pixels × 24 bits/pixel = 29,548,800 bits

  3. Convert the image size from bits to bytes

    29,548,800 bits / 8 bits/byte = 3,693,600 bytes

  4. Convert the memory stick capacity from GiB to bytes

    32 GiB × 1024 MiB/GiB × 1024 KiB/MiB × 1024 bytes/KiB = 34,359,738,368 bytes

  5. Calculate the number of images that can be stored

    34,359,738,368 bytes / 3,693,600 bytes/image ≈ 9302.32 images
    Since only whole images can be stored, round down to 9302 images.


Part 4

d Describe how it would be possible to increase the number of these images which could be stored on this memory stick.

To increase the number of images stored, you could:

  1. Reduce the image resolution: Decrease the number of pixels (e.g., from 1140x1080 to a lower resolution).
  2. Reduce the colour depth: Use fewer bits per pixel (e.g., from 24 bits to 16 bits or 8 bits), which would reduce the range of available colors.
  3. Compress the images: Apply image compression techniques (e.g., using formats like JPEG for lossy compression or PNG for lossless compression) to reduce file size.
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