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Recursion, Sorting and Searching

Data compression and its efficiency

  • 3 things to know
  • A2 Unit 3

Overview

Compression ratio of a compressed file and principle behind Huffman coding.

What you need to know

Answer each one before you reveal it.

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Key term

Define the compression ratio of a compressed file.

Numbers

A 5 MB file is compressed to 2 MB. Calculate the saving percentage.

Key term

A file of 800 KB is compressed to 200 KB. State the compression ratio and the saving percentage.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What does a compression algorithm exploit in order to make a file smaller?

    Model answer

    It exploits redundancy, which is any repetition or predictability in the data that lets the same information be described in fewer bits.

  2. 2

    Why can lossy compression not be applied to a program file or a spreadsheet?

    Model answer

    Discarding detail alters the bits themselves, and a single changed instruction or figure makes the file wrong rather than merely poorer.

  3. 3

    Explain how lossy compression of an audio recording reduces the size of the file.

    Model answer

    Sounds the ear is unlikely to notice, such as quiet frequencies masked by louder ones, are thrown away outright and can never be recovered.

  4. 4

    Define the compression ratio of a compressed file.

    Model answer

    The compression ratio is the original size divided by the compressed size, so a 5 MB file reduced to 2 MB has a ratio of 2.5 to 1.

  5. 5

    A 5 MB file is compressed to 2 MB. Calculate the saving percentage.

    Model answer

    The space saved is 3 MB out of the original 5 MB, which is 60%.

  6. 6

    A file of 800 KB is compressed to 200 KB. State the compression ratio and the saving percentage.

    Model answer

    The compression ratio is 4 to 1 and the saving percentage is 75%.

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