Representing images：練習題

Which of the following statements best describes a pixel in the context of digital images?

A bitmap image has a width of \(20\) pixels and a height of \(30\) pixels. If the colour depth is set to \(8\) bits, what is the total file size in bytes?

An image is represented by a \(4 \times 4\) grid. The binary data for the image is 1010010110100101, where \(1\) represents black and \(0\) represents white. Which visual pattern does this create when displayed?

Define the term pixel and state what the word is short for.

Describe how the resolution (number of pixels) and colour depth of a bitmap image collectively affect its total file size.

A 4x4 bitmap uses 1-bit color depth (where 1 is black and 0 is white). If the binary data provided is 1111, 1001, 1001, 1111, describe the visual shape formed and calculate the total number of bits needed to store the pixel data.

Part A: Explain what is meant by the term pixel and how pixels are used to represent a bitmap image.
Part B: A bitmap image has a resolution of \( 40 \times 30 \) pixels and uses a colour depth of 4 bits. Calculate the total file size of the image in bytes. Show your working.

A digital designer is comparing two different image files.
Image A: \( 200 \times 200 \) pixels with a colour depth of 8 bits.
Image B: \( 100 \times 100 \) pixels with a colour depth of 24 bits.
Part A: Calculate the file size of Image A in kilobytes (kB).
Part B: Calculate the file size of Image B in kilobytes (kB).
Part C: Determine which image file is larger and by how many kilobytes (kB).
Note: Use 1 kB = 1,000 bytes for your calculations.