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IGCSE · Cambridge (CIE) · 0972

Represent sound as analogue and digital information

Trace a microphone signal, sample and quantise supplied values, then reconstruct sound at a receiver.

Electromagnetic spectrum pathway · 0972 (9–1) · 3.3
Exam scope and assessment notes

Extended only (Supplement) · Physics 0972, 2026–2028. Follow the selected spectrum or sound section. Diagrams illustrate stated ideal models and supplied data. Written practice is self-checked. Human subject-teacher review, supervised practical competence and cumulative assessment remain pending. Cambridge states that IGCSE 0972 has the same subject content as IGCSE 0625, with 9–1 grading. This StudyForA pathway maps the 2026–2028 syllabus only. This 9–1 graded qualification is available only in a limited number of administrative zones. Confirm that your centre can enter you for this code and exam series with Cambridge International. Cambridge has published a separate syllabus for 2029. StudyForA has not reconciled that version yet; this page supports exams in 2026, 2027 and 2028 only.

Before you begin

  • Distinguish analogue and digital signals.
  • Trace a microphone-to-transmitter-to-receiver path.

Work on paper. Try each question before revealing help, and explain why your method works.

Quick readiness check

What is the microphone's role in a voice communication system?

What you will learn

  • Explain that sound can be transmitted as analogue or digital information.
  • Distinguish sampling, discrete coding and reproduced sound.
Original supplied four-sample coding example uses nearest allowed levels 0, 1, 2 and 3. The samples 0.2, 1.7, 2.8 and 1.2 become 0, 2, 3 and 1, encoded as 00, 10, 11 and 01. These eight sample-data bits exclude framing; quantisation does not preserve every original amplitude.Four supplied audio samplesNearest levels: 0, 1, 2, 30.2 → 0 → 001.7 → 2 → 102.8 → 3 → 111.2 → 1 → 01Four samples × two bits = eight bitsQuantisation can lose detail
Original supplied four-sample coding example uses nearest allowed levels 0, 1, 2 and 3. The samples 0.2, 1.7, 2.8 and 1.2 become 0, 2, 3 and 1, encoded as 00, 10, 11 and 01. These eight sample-data bits exclude framing; quantisation does not preserve every original amplitude.

Represent the same sound in two ways

A microphone produces an electrical representation of sound variations. An analogue communication system can transmit information following those continuous variations. A digital system measures sample values at successive times and represents them using discrete codes.

The transmitted electromagnetic carrier is not a sound wave in air. A receiver recovers the representation, and a loudspeaker creates a local sound disturbance. The original air particles have not travelled along the communication route.

Read a supplied simple coding rule

For an illustrative four-level model, round each supplied sample to the nearest allowed level 0, 1, 2 or 3, then code these as 00, 01, 10 and 11. Values 0.2, 1.7, 2.8 and 1.2 become levels 0, 2, 3 and 1, giving 00 10 11 01.

Four samples using two bits each need eight data bits before any additional framing. Sampling and quantisation lose some original detail; the reconstructed sound is not guaranteed to match every continuous value exactly. More suitable sampling and level resolution can improve representation without changing the sound's carrier into air vibration.

Pause and explain

Using nearest levels 0–3, how is a sample of 1.7 represented?

Put the idea to work

Worked example

Encode samples 0.2, 1.7, 2.8 and 1.2 using nearest levels 0–3 and their two-bit codes.

Show the worked solution
  1. Nearest levels are 0, 2, 3 and 1.
  2. Codes are 00, 10, 11 and 01.
  3. Four two-bit samples use eight bits.

Answer 00 10 11 01; eight sample-data bits.

Try a topic test

Choose Easy, Normal or Difficult. Save your answers and open worked review after finishing.

Test this topic →

From guided practice to a new situation

Write your answer and reasoning first. Use a hint only if you are stuck. The model solution is for self-checking; your written work is not automatically marked.

1 · Guided

Describe the analogue and digital routes for transmitting sound information.

Give me a hint

Start with the microphone, then compare representations.

Compare my reasoning
  1. The microphone represents sound electrically.
  2. Analogue follows continuous variations; digital uses sampled discrete codes.
  3. A receiver converts recovered information into local sound.

Both routes represent sound; continuous or coded signals are recovered and reproduced locally.

Look for these in your work

  • Describe both routes.
  • Separate carrier and sound.
2 · Independent

Encode sample values 0.8 and 2.6 using nearest levels 0–3 and two-bit codes.

Give me a hint

Round to an allowed level before using the code table.

Compare my reasoning
  1. 0.8 rounds to level 1.
  2. 2.6 rounds to level 3.
  3. Their codes are 01 and 11.

01 11; four sample-data bits.

Look for these in your work

  • Apply nearest-level coding.
  • Count two bits per sample.
3 · Transfer

Why may reconstructed digital sound differ from the original continuous sound even if every transmitted bit is recovered?

Give me a hint

Separate transmission errors from sampling and level resolution.

Compare my reasoning
  1. Sampling records selected times.
  2. Quantisation replaces amplitudes with allowed levels.
  3. Correct bit recovery cannot restore all discarded original detail.

Sampling and quantisation can lose detail before transmission.

Look for these in your work

  • Identify both restrictions.
  • Do not equate correct bits with exact original waveform.

Common mistakes

  • A sample value is not an individual bit.
  • Quantisation can lose amplitude detail.
  • Reproduced sound is generated locally by the receiver.
Recall without your notes

What can you explain now?

Can the same original sound be represented by analogue or digital signals?

Compare with the explanation

Yes.

The representations differ even though they can describe the same sound information.

After trying it yourself, choose your next review. This is your self-assessment.

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Make it stick

Explain both sound representations and use a supplied sample-to-level-to-code rule.

If you needed the solution, close it and solve the problem again from a blank page. A correct answer is stronger when you can explain the reason for each step.

Keep learning Physics (9-1)

Course scope and assessment

491 sequenced Physics lessons provide 1473 guided, independent and application problems. 58 of 58 syllabus sections have full linked teaching sequences; 0 sections remain pending. Three earlier starter overviews remain available but are not counted as full sequences. The map covers all six subject areas for 2026–2028 and keeps review and assessment limits visible. This is available content, not full programme completion, an exam grade or certified mastery. Written practice is self-checked. Supervised practical experience, cumulative assessment and human subject-teacher review remain pending. Paper method exercises do not demonstrate practical competence or complete either practical-assessment route. This is the separate 9–1 qualification 0972; Cambridge states that its 2026–2028 subject content is otherwise the same as 0625. This 9–1 graded qualification is available only in a limited number of administrative zones. Confirm that your centre can enter you for this code and exam series with Cambridge International. The 2029 syllabus is separately published at https://www.cambridgeinternational.org/Images/764368-2029-syllabus.pdf and is not yet mapped here. This course supports exams in 2026, 2027 and 2028 only.

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