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Edexcel GCSE Computer Science (1CP2) Exam Questions

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4 questions · 11 marks

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1Short recall1 markImages Swap Remove

A bitmap image uses one bit per pixel.

State the limitation this places on the number of colours in the image.

[1 mark]
Mark scheme

Award one mark for any of the following:

  • Only two different colours can be represented/stored (1)
  • Each pixel can only be one of two values (1)
  • The image can only be shown in black and white (1)

Allow answers that give the number of colours, e.g. two colours, 2 colours

Allow any pair of two colours, e.g. black and white, black and grey

Do not accept low resolution/poor quality/lower quality

Do not accept only one colour/can only show black

Do not accept 2 bits/2^1 without a statement about the number of colours that can be represented

Example answers and how they were marked
Full marks1/1

Only two colours can be represented, such as black and white.

Why: States that only two different colours can be represented (1)

No marks0/1

The image will have a low resolution.

Why: Confuses colour depth with resolution; low resolution is not accepted

No marks0/1

The image can only show black.

Why: One colour is all a single value can give; the limitation is that only two colours can be represented, so this is not accepted

2Explain2 marksCharacter Sets Swap Remove

The ASCII code for the uppercase letter A is 65, which is stored as the 7-bit pattern 1000001.

Explain why the lowercase letter a is stored using a different 7-bit pattern.

[2 marks]
Mark scheme

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

  • The computer needs to tell/distinguish the uppercase A from the lowercase a (1) because each different character has its own unique 7-bit code/pattern (1)
  • A and a are different characters (1) so each needs a different 7-bit pattern to be stored and displayed correctly (1)
  • If A and a had the same 7-bit pattern (1) the computer could not tell which character to display (1)

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

Do not accept 'because they are different letters/cases' without saying they need different/unique codes or that the computer must tell them apart.

Do not accept 'because A is a capital letter' on its own.

Do not accept 'because the codes are different numbers' or '65 is not 97' without linking to the need to tell the characters apart or to unique codes.

Example answers and how they were marked
Full marks2/2

Each character needs its own unique code, so the computer can tell that A and a are different characters and display the right one.

Why: Gives the point that the computer must tell A and a apart (1) and links it to the reason that each character needs its own unique code (1).

Some marks1/2

The computer must be able to tell the difference between uppercase and lowercase letters.

Why: Gives the point that the computer must tell the two characters apart (1) but gives no linked reason about unique codes or different 7-bit patterns.

No marks0/2

Because A is a capital letter and a is lowercase.

Why: Only states that the letters are different cases, which the mark scheme says is not accepted without saying they need unique codes or that the computer must tell them apart.

3Explain2 marksCharacter Sets Swap Remove

A computer system uses a 4-bit code to represent the characters typed on its keyboard.

Explain one limitation of using 4 bits to represent characters.

[2 marks]
Mark scheme

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

  • Only 16 different characters can be represented (1) so there are not enough characters codes for every letter of the alphabet (1)
  • 4 bits give only 16 different combinations (1) which is not enough for the uppercase letters, lowercase letters, digits and symbols on a keyboard (1)
  • More than 16 characters are needed on a keyboard (1) so some letters, digits or symbols cannot be represented (1)
  • The number of character codes available is limited to 16 (1) because 4 bits give 2 to the power of 4 combinations (1)

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

Calculating that 4 bits give 2 to the power of 4 = 16 combinations can earn either the point or the linked reason, provided the other half of the answer says what this means (too few characters/codes).

Allow an expansion that names only the letters of the alphabet, e.g. there are not enough character codes for the 26 letters (1).

Do not accept '4 bits can only store 4 characters' (the number of bits is not the number of characters).

Do not accept 'it can only store 16 bits' (16 is the number of character codes/combinations, not the number of bits).

Do not accept 'not enough memory/storage' (the limitation is the number of character codes, not the amount of storage).

Do not accept 'it is limited/smaller' without saying how many characters/codes are available or what cannot be represented.

Example answers and how they were marked
Full marks2/2

Only 16 different characters can be represented, so there are not enough character codes for all 26 letters.

Why: Gives the point that only 16 characters can be represented (1) and links it to the reason that this is fewer than the letters needed (1).

Some marks1/2

Only 16 different characters can be represented.

Why: Gives the point that only 16 characters can be represented (1) but does not explain what cannot be represented.

No marks0/2

It can only store 4 characters because there are 4 bits.

Why: Misconception that the number of bits equals the number of characters, which the mark scheme says not to accept; no creditworthy point.

4Discuss6 marksImages Swap Remove

A handheld games console displays sprites. The console stores each pixel of a sprite using 4 bits. Designers want sprites that contain many shades of green and blue.

Discuss the limitations of using 4 bits to store each pixel of a sprite on the console.

Your answer should include:

  • the number of colours that can be represented
  • the effect on the appearance of the sprite
  • how the limitation could be managed.
[6 marks]
Mark scheme

Indicative content

Number of colours

  • 4 bits give 2^4 = 16 different binary values, so at most 16 colours can be stored for each pixel.
  • The console cannot store every shade that the designers want; colours outside the 16 must be approximated or left out.
  • Adding more bits per pixel would allow more colours, but this may not be possible on the console's hardware.

Effect on appearance

  • The sprite may show banding where a smooth change from green to blue should be.
  • A sprite that needs many shades, such as a detailed landscape, will look unrealistic or have blocks of colour.
  • Simple sprites with flat colours, such as a retro character, can still look acceptable.
  • The limitation is in the number of colours, not the number of pixels; resolution is a separate issue.

Managing the limitation

  • Designers can choose a palette of 16 colours that includes the most important greens and blues for the game.
  • They can design sprites with flat colours rather than smooth gradients.
  • They can use more bits per pixel for important sprites if the console allows it.
  • They can accept that some shades will be approximated and check that the sprite still looks clear on the console's screen.

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)

Level 3 responses must cover the number of colours and the effect on appearance.

Do not accept 4 bits give 4 colours or 8 colours.

Example answers and how they were marked
Full marks6/6

4 bits per pixel gives 2^4 = 16 different binary values, so each pixel can be only one of 16 colours. The designers want many shades of green and blue, but most of these cannot be stored exactly and must be approximated or left out. This can cause banding where a smooth change from green to blue should be, so a detailed sprite may look unrealistic. A simple sprite with flat colours could still look acceptable. The designers could choose a palette of 16 colours that includes the most important greens and blues, and design sprites with flat colours instead of gradients. Using more bits per pixel would allow more colours, but the console's hardware may not support this.

Why: Explains 2^4 = 16 colours and the limitation on shades, links this to banding and realism, and gives suitable ways to manage it in the console context. Sustained reasoning, so Level 3.

Some marks4/6

4 bits can store 16 colours. This means the sprite cannot have many colours. It might look bad if it needs lots of shades of green and blue. The designers could use fewer colours in the sprite.

Why: Correctly gives 16 colours and makes a simple link to the sprite's appearance and a way to manage it. There is little development of the effect or the management, so Level 2.

Some marks1/6

4 bits can store 16 colours. This means the sprite will have a low resolution, so it will look blocky. The designers should use a higher resolution to get more shades of green and blue.

Why: One correct point: 4 bits give 16 colours. The answer then confuses colour depth with resolution; increasing resolution would not provide more shades.

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