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Figure 4 shows a black and white image - AQA - GCSE Computer Science - Question 16 - 2021 - Paper 1

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Question 16

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Figure 4 shows a black and white image. Figure 4 The image shown in Figure 4 could be compressed using Run Length Encoding (RLE). The RLE for the image in Figure 4... show full transcript

Worked Solution & Example Answer:Figure 4 shows a black and white image - AQA - GCSE Computer Science - Question 16 - 2021 - Paper 1

Step 1

Give the RLE for the image shown in Figure 5.

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Answer

To determine the Run Length Encoding (RLE) for the image in Figure 5, we analyze the rows of the pattern:

  1. The first two pixels are black (B) and represent a count of 2.
  2. The next pixels are white (W), which count up to 3.
  3. Following that, there are 4 black pixels (B), ending with one white (W).

Thus, the RLE for the image is B2 W3 B4 W1, which can be simplified to: B2 W3 B4 W1.

Step 2

Give the binary representation of the RLE: B15 W9.

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Answer

The binary representation involves converting each RLE value:

  1. For B15:

    • B corresponds to 0 (B = 0)
    • The frequency 15 in binary is 0001111.
    • Thus, B15 in binary is 00001111.
  2. For W9:

    • W corresponds to 1 (W = 1)
    • The frequency 9 in binary is 0001001.
    • Thus, W9 in binary is 10001001.

Combining these, the full binary representation is 00001111 10001001.

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