Computer Science
Data representation
- 1.
Convert binary 10110110 to unsigned decimal, showing place values.
[2 marks] · no calculator - 2.
Explain one advantage and one limitation of lossless compression for a source-code file.
[3 marks] · no calculator - 3.
Interpret 11100110 as an 8-bit two's-complement integer and state the representable range.
[3 marks] · no calculator - 4.
Calculate raw storage for a 640 x 480 image at 24 bits per pixel, in bytes and KiB. Ignore metadata; 1 KiB = 1024 bytes.
[3 marks] - 5.
Add 01111111 and 00000001 using 8-bit two's complement. Give the stored bit pattern and explain why the signed result is invalid.
[4 marks] · no calculator - 6.
A stereo recording uses 48000 samples per second per channel, 16 bits per sample and lasts 10 s. Calculate raw size in bytes and explain how halving sample rate affects size and possible fidelity.
[4 marks]
Marking points are indicative, not an official mark scheme. Accept equivalent valid methods and supported interpretations that address the task; award each mark once without requiring the model wording.