An image uses a colour depth of 2 bits per pixel. The original image contains 12 different colours.
Explain why the image cannot be represented accurately at this colour depth.
Mark scheme
Award up to two marks for a linked explanation such as:
- Only 4 colours can be represented (1) because 2 bits give 2^2 = 4 possible values (1)
- Some of the 12 colours cannot be stored (1) so they are lost/replaced with a colour that can be represented (1)
- The image will not match the original exactly (1) because there are fewer colour codes than the number of colours needed (1)
- Many colours will share the same binary value (1) so the image will lose colour detail (1)
For both marks, the expansion must follow/associate with the statement.
Allow 'four colours' or '2^2'.
Do not accept 'only two colours' (confusing the number of bits with the number of values) or 'resolution is too low'.
Example answers and how they were marked
Only four colours can be represented (1) because two bits give four possible binary values (1).
Why: Linked point (1) and reason (1): 2 bits give 2^2 = 4 colour codes.
Only four colours can be represented.
Why: One mark for identifying that four colours can be represented; the linked reason about two bits giving four values is missing.
Only two colours can be represented because each pixel has two bits.
Why: A common misconception: two bits give four possible values, not two, so no creditworthy point is given.