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Edexcel GCSE Computer Science (1CP2) Exam Questions

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3 questions · 10 marks

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1Describe2 marksSound Swap Remove

Sound is converted into binary using a limited bit depth.

Describe one limitation of representing a sound sample with a limited bit depth.

[2 marks]
Mark scheme

Award up to two marks for a linked description such as:

  • Only a fixed number of amplitude values/levels can be represented (1) so the amplitude is rounded to the nearest available value/level (1)
  • Fewer amplitude values/levels are available to choose from (1) so similar/close amplitudes cannot be stored as different values (1)
  • The exact amplitude often falls between available values/levels (1) so the stored amplitude is not exact/less accurate (1)

Answers must relate to the number of bits per sample (bit depth) and the amplitude values/levels it can represent.

Do not accept answers about the sample rate, sample interval or the number of samples taken, or that confuse bit depth with the number of samples.

Do not award 'lower quality'/'more detail'/'less detail' unless it is linked to the number of amplitude values/levels.

Do not accept 'the sound cannot be played/stored' without a linked limitation.

Example answers and how they were marked
Full marks2/2

Only a fixed number of amplitude values can be represented, so the amplitude is rounded to the nearest available value and some detail is lost.

Why: Linked points: fixed number of amplitude values (1) and rounding to the nearest available value (1).

Some marks1/2

Only a fixed number of amplitude values can be represented.

Why: Gives the first linked point only (1); it does not develop what this limitation leads to.

No marks0/2

A lower bit depth means fewer samples are taken, so parts of the sound are missed.

Why: Confuses bit depth with the number of samples/sample rate; no creditworthy point about amplitude values is given.

2Explain2 marksCharacter Sets Swap Remove

ASCII uses a fixed number of bits to represent each character.

Explain one reason why ASCII uses 7 bits to represent each character.

[2 marks]
Mark scheme

Award up to two marks for a linked explanation such as:

  • 7 bits give 128 different codes/combinations (1) which is enough to represent all the characters on a keyboard (1)
  • 7 bits allow 128 unique characters (1) so uppercase and lowercase letters, digits and punctuation can all be represented (1)
  • 6 bits give only 64 combinations (1) which is not enough for the number of characters on a keyboard (1)
  • A keyboard needs to represent more than 64 different characters (1) so 7 bits are needed to give the 128 combinations required (1)
  • A fixed number of 7 bits gives 128 possible codes (1) which is enough for the characters ASCII represents, so more bits are not needed (1)

For both marks, the expansion must follow/associate with the statement.

Do not accept 'because ASCII is 7-bit' or 'because 7 bits is enough' as these repeat the question without giving the number of combinations or saying what they allow.

Do not accept '7 bits give 256 characters'; 256 combinations come from 8 bits (extended ASCII).

Allow 'ASCII has 128 characters/codes' for the 128 point.

Example answers and how they were marked
Full marks2/2

7 bits give 128 different codes, which is enough for every letter, digit and punctuation symbol on a keyboard.

Why: Gives the point that 7 bits give 128 codes (1) and links it to the reason that this is enough for all the characters on a keyboard (1).

Some marks1/2

7 bits give 128 different combinations.

Why: Gives the point that 7 bits give 128 combinations (1) but does not say what this number of combinations allows, so the linked reason (1) is not earned.

No marks0/2

Because ASCII uses 7 bits so it can store 256 characters.

Why: Repeats the question and gives the wrong number of characters (256 is 8-bit extended ASCII), so there is no creditworthy point.

3Discuss6 marksSound Swap Remove

A school records its end-of-year concert. The recording will be put on the school website as an audio file. The school wants the recording to sound as close to the live performance as possible, but the file must not be too large.

Discuss how the sample rate and the sample interval used to digitise the concert affect the quality of the recording and its file size.

Your answer should include:

  • the meaning of sample rate and how it relates to sample interval
  • how changing them affects the accuracy of the recording
  • the effect on the size of the audio file.
[6 marks]
Mark scheme

Indicative content

Sample rate and sample interval

  • The sample rate is the number of samples taken each second, measured in hertz (Hz).
  • The sample interval is the time between one sample and the next.
  • The sample interval is the reciprocal of the sample rate, so doubling the sample rate halves the sample interval.
  • A higher sample rate therefore gives a shorter sample interval, so the concert is measured more often.
  • A lower sample rate gives a longer sample interval, so fewer points on the sound wave are recorded.
  • The school could sample at 44,100 Hz, taking 44,100 measurements of the concert every second.

Accuracy of the recording

  • A higher sample rate, and so a shorter sample interval, records more points on the sound wave, so its shape is followed more closely and the recording is more like the live performance.
  • A higher sample rate can capture high-frequency sounds in the music, such as a violin, more accurately.
  • With a low sample rate the gap between samples is long, so fast changes such as a drum beat can happen between samples and be missed, making the recording less accurate.
  • If the sample rate is too low, a high-frequency sound changes several times between samples, so the digital file does not represent that sound properly.

Effect on file size

  • Each sample is stored using a number of bits, so more samples each second means more data to store for each second of the concert.
  • The file size is the sample rate multiplied by the bit depth multiplied by the duration, so doubling the sample rate doubles the size of the file for the same concert.
  • A lower sample rate means fewer samples are stored, so the file is smaller and quicker to download from the school website.
  • A higher sample rate gives a more accurate recording but a larger file, so the school must trade off quality against file size.

Levels

  • Level 0 (0 marks): No rewardable content.
  • Level 1 (1–2 marks): Basic, independent points are made, showing elements of understanding of key concepts/principles of computer science. (AO1) The discussion will contain basic information with little linkage between points made or application to the context. (AO2)
  • Level 2 (3–4 marks): Demonstrates adequate understanding of key concepts/principles of computer science. (AO1) The discussion shows some linkages and lines of reasoning with some structure and application to the context. (AO2)
  • Level 3 (5–6 marks): Demonstrates comprehensive understanding of key concepts/principles of computer science to support the discussion being presented. (AO1) The discussion is well developed, with sustained lines of reasoning that are coherent and logically structured, and which clearly apply to the context. (AO2)

Additional guidance

  • Level 3 responses must cover both sample rate and sample interval, including how they are related, and link them to the accuracy of the recording and to the file size. For Level 2, the response must link a change in sample rate/sample interval to the accuracy of the recording and link a change to the size of the file, with some application to the concert; definitions alone, or points that are not linked, are Level 1.
  • Accept reasoning that uses sample rate only, or sample interval only, if the relationship between them is stated or implied. Do not accept sample rate described as the number of bits per sample (that is bit depth), and do not accept the claim that a higher sample rate makes the file smaller.
Example answers and how they were marked
Full marks6/6

The sample rate is the number of samples taken each second and is measured in hertz. The sample interval is the time gap between one sample and the next, so it is the reciprocal of the sample rate: a higher rate means a shorter interval. If the school uses a high sample rate, such as 44,100 Hz, the interval between samples is short, so the analogue-to-digital converter measures the concert wave very often and follows its shape closely. This makes the recording more accurate, because quiet details and fast drum beats are less likely to happen between samples and be missed, and high notes from the violins are captured properly. However, every sample is stored using bits, so 44,100 samples each second means much more data for each second of the concert and a much larger file, which could download slowly from the school website. If the school halves the sample rate, the interval doubles, the file is half the size, but fast changes in the music may be missed and the recording will sound less like the live performance, so the school must trade off quality against file size.

Why: Level 3 (6 marks): defines both terms, states the reciprocal link, explains why a short interval gives accurate capture (wave shape, fast changes, high frequencies) and why more samples per second means more data, applies all of this to the concert and the website, and draws a trade-off.

Some marks3/6

The sample rate is how many samples are taken each second. The sample interval is the time between each sample, so a higher sample rate means a shorter sample interval. If the school uses a higher sample rate, more of the concert is measured each second, so the recording is more accurate. A higher sample rate also makes the audio file bigger, which will download more slowly from the school website. The school should not use a sample rate that is too high or the file will be too large.

Why: Level 2 (3 marks): definitions are correct and the reciprocal link is stated, and there is one link to accuracy and one link to file size with some application to the concert, but nothing on why slow sampling misses detail and no mechanism for the file-size increase, so it is adequate rather than comprehensive.

Some marks1/6

The sample rate is the number of bits used for each sample. A higher sample rate gives a more accurate recording, so the school should use the highest sample rate so that the concert sounds just like the live performance.

Why: Level 1 (1 mark): one basic correct point, that a higher sample rate gives a more accurate recording; the definition confuses sample rate with bit depth and is not credited, and no point is made about the file size.

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