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The term pixel is short for Picture Element - AQA - GCSE Computer Science - Question 7 - 2023 - Paper 2

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The term pixel is short for Picture Element. Define the term pixel. Figure 1 shows a 5 pixel x 5 pixel image. A minimum colour depth of two bits is needed to store... show full transcript

Worked Solution & Example Answer:The term pixel is short for Picture Element - AQA - GCSE Computer Science - Question 7 - 2023 - Paper 2

Step 1

Define the term pixel.

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Answer

A pixel, short for Picture Element, is the smallest addressable part of an image. It is a single point or dot of color in a raster image.

Step 2

Explain how the image in Figure 1 can be represented as a bitmap.

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Answer

The image in Figure 1 can be represented as a bitmap by storing the pixels in a grid format. Each pixel in the image can be represented using binary values based on a 2-bit color depth. With 2 bits, there are 4 possible combinations of color that can be assigned:

  • 00 for black
  • 01 for white
  • 10 for grey
  • 11 for light grey

Thus, each pixel is associated with a unique 2-bit binary code. The 5x5 image would be stored as an array of these binary values, where each pixel maps to a specific color representing its position in the image.

Step 3

Calculate the minimum file size, in bits, of this image when represented as a bitmap.

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Answer

To calculate the minimum file size of a 10 pixel x 10 pixel image with a color depth of 5:

  1. The total number of pixels is:

    10×10=100 pixels10 \times 10 = 100 \text{ pixels}

  2. For 5 different colors, we need a color depth of:

    log2(5)=3 bits\lceil \log_2(5) \rceil = 3 \text{ bits}

  3. Therefore, the minimum file size in bits is:

    100 pixels×3 bits/pixel=300 bits100 \text{ pixels} \times 3 \text{ bits/pixel} = 300 \text{ bits}

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