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A-LevelComputer ScienceData representation9618/12 · May/June 2023 · Q46 Marks

Data in a computer is stored in binary form.

  1. (a)State the number of unique binary values that can be represented in 16 bits.[1]
  2. (b)Give the 8-bit one's complement representation of the denary number -120. Show your working. Working Answer[2]
  3. (c)Convert the hexadecimal number A04 into denary. Show your working. Working Answer[2]
  4. (d)Show the result of a 2-place left logical shift on the binary number: 01001111[1]

Mark scheme

Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.

  1. [1] 2^16 // 65536
  2. [2] 1 mark for working; 1 mark for answer • Working: +120 = 0111 1000 • Answer: 1000 0111
  3. [2] 1 mark for working; 1 mark for answer • Working: A04 = (10 * 16^2) + 4 // A04 = (10 * 256) + 4 // A04 = 1010 0000 0100 • Answer: 2564
  4. [1] 0011 1100

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About this question

Topic
Data representation, A-Level Computer Science (syllabus 9618). Structured question, 6 marks.
Source
A-Level Computer Science, May/June 2023 Paper 1 Variant 2, question 4.

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