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IGCSE · Cambridge (CIE) · 0654

Distinguish analogue and digital signals

Compare continuously varying representations with discrete allowed values, without confusing amplitude levels and bits.

Electromagnetic spectrum · Cambridge IGCSE 0654 · P3.3

Mapped to the named 0654 section using teaching from the corresponding single-science course. A 0654-specific review of every Core and Supplement objective is still in progress. Written practice is self-checked; it does not demonstrate supervised laboratory competence or award an official Cambridge grade.

Before you begin

  • Read a signal-value against time graph.
  • Distinguish information from its carrier.

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

Quick readiness check

What does a signal-value versus time trace describe?

What you will learn

  • Describe the difference between analogue and digital signals.
  • Read discrete level representations without claiming every digital signal is a square wave.
Original signal-value versus time comparison contrasts a continuously varying analogue representation with ideal binary levels. The traces describe representations, not literal particle paths, and the drawn abrupt binary transitions are simplified. Discrete multilevel coding is also digital.Signal value against timeAnalogue: continuous valuesBinary: discrete allowed symbols10Time →Real transitions take finite time
Original signal-value versus time comparison contrasts a continuously varying analogue representation with ideal binary levels. The traces describe representations, not literal particle paths, and the drawn abrupt binary transitions are simplified. Discrete multilevel coding is also digital.

Describe the representation

An analogue signal varies continuously to represent a changing quantity, such as a microphone voltage following sound-pressure variations. In the ideal model it can take any value within a range. A digital representation uses discrete allowed values or symbols rather than every intermediate value.

Binary digital information uses two logical values, 0 and 1. Physical voltage or light levels represent those symbols. Real transitions take time and received levels can contain noise, so a drawn square pulse is a simplified representation rather than a claim of physically instantaneous changes.

Separate levels from the thing represented

A digital system can encode several amplitude levels using groups of bits. Four allowed amplitude values can be labelled 00, 01, 10 and 11 using two bits per sample. These discrete values remain digital even though there are more than two represented amplitudes.

An analogue waveform is not automatically sound, and a digital waveform is not automatically light. Both describe the information representation; the physical transmission may use an electrical or electromagnetic system. Read the labelled axes before interpreting a graph.

Sources for this lesson

Pause and explain

Which description identifies a digital representation?

Put the idea to work

Worked example

An amplitude is restricted to 0, 1, 2 or 3 and each value is sent as 00, 01, 10 or 11. Classify the representation.

Show the worked solution
  1. There are four allowed amplitude values.
  2. They are discrete rather than a continuous range.
  3. Each is represented by a two-bit group.

Answer Digital; four discrete amplitude levels encoded by two bits each.

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

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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

Define the difference between analogue and digital signals.

Give me a hint

Compare continuous values with allowed discrete states.

Compare my reasoning
  1. Analogue varies continuously.
  2. Digital uses discrete allowed states.
  3. Both may represent the same original quantity.

Analogue: continuous variation; digital: discrete allowed values or symbols.

Look for these in your work

  • State both descriptions.
  • Keep carrier separate.
2 · Independent

How many bit patterns are available using two bits, and how can they label four amplitude levels?

Give me a hint

List the ordered pairs of binary symbols.

Compare my reasoning
  1. The patterns are 00, 01, 10 and 11.
  2. Each labels one of four levels.
  3. The representation is discrete.

Four patterns, one for each of four allowed levels.

Look for these in your work

  • Include all four groups.
  • Distinguish levels from individual bits.
3 · Transfer

A physical pulse has slightly rounded transitions. Does that alone prove its information is analogue?

Give me a hint

Ask whether the receiver interprets discrete states.

Compare my reasoning
  1. Real transitions need finite time.
  2. A receiver can still distinguish allowed symbols.
  3. Rounded edges alone do not determine the encoding category.

No; discrete interpreted symbols can still carry digital information.

Look for these in your work

  • Separate physical shape and coding.
  • Use the stated interpretation.

Common mistakes

  • Digital means discrete, not necessarily only two measured amplitudes.
  • A graph's axis may be voltage rather than air displacement.
  • Carrier and representation are separate descriptions.
Recall without your notes

What can you explain now?

Can an analogue signal take intermediate values in its ideal range?

Compare with the explanation

Yes.

Continuous variation distinguishes it from a restricted set of digital values.

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

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Make it stick

Define analogue and digital representations and explain discrete amplitude coding with groups of bits.

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 Sciences — Co-ordinated (Double)

Course scope and assessment

This 2028–2029 pathway maps all 152 detailed subject-content sections in the published 0654 syllabus to original teaching and staged practice. It adapts teaching from the related single-science pathways and excludes clear 0610-only topics such as classification systems, human excretion, tropic responses, food supply, population dynamics, detailed pollution and biotechnology. Some explanations may include wider single-science context. A 0654-specific objective-by-objective review, Core/Supplement audit, human subject-teacher review, supervised laboratory experience and cumulative assessment remain in progress. Written practice is self-checked and does not predict an official grade. The 2025–2027 syllabus has not been reconciled here; choose the 2028–2029 syllabus only.

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