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Paper 1

Data Representation

Both
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Server racks and data cables

Representing data efficiently saves storage and bandwidth.

Key Facts

  • 1 byte = 8 bits; 1 KB = 1024 bytes.
  • Higher resolution increases file size.
  • Sampling theorem: sample at least twice the highest frequency.
  • Hex is base 16 and uses 0-9 and A-F.

Topics Covered

Binary and Hex

What you need to know

  • Convert between binary, denary, and hexadecimal.
  • Understand binary shifts for multiplying or dividing by 2.

Exam Tips

  • Write down place values before converting.

Images and Sound

What you need to know

  • Image size depends on resolution and colour depth.
  • Sound size depends on sample rate and bit depth.

Exam Tips

  • Include units when calculating file size.

Compression

What you need to know

  • Lossless keeps all data; lossy removes detail.
  • Explain trade-offs between quality and size.

Exam Tips

  • Use examples like PNG for lossless and JPEG for lossy.

Character Encoding

What you need to know

  • ASCII uses 7 bits; Unicode covers more characters.
  • Encoding maps characters to binary patterns.

Exam Tips

  • Explain why Unicode is needed for global languages.

Key Terms

bit depth

Number of bits used per pixel or sample.

sampling rate

Number of samples per second for sound.

lossless

Compression with no data loss.

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Common Exam Questions

Calculate the file size of a 4 second sound clip sampled at 44 kHz with 16-bit depth.

4 marksmediumPaper 1

Model Answer

Size = 44,000 x 16 x 4 bits = 2,816,000 bits = 352,000 bytes (approx).

What examiners want to see

  • Correct formula
  • Units

Related Topics

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