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O-LevelComputer ScienceData Representation2210/12 · May/June 2017 · Q57 Marks

The denary number 57 is to be stored in two different computer registers. Convert 57 from denary to binary and show your working.

  1. (a)The denary number 57 is to be stored in two different computer registers. Convert 57 from denary to binary and show your working.[2]
  2. (b)Show the binary number from part (a) as it would be stored in the following registers. Register 1 Register 2[2]
  3. (c)A binary number stored in a register can have many different uses, for example an address in main memory. Give two other uses for a binary number stored in a register. Use 1 Use 2[2]
  4. (d)A register in a computer contains binary digits. 0 0 1 1 1 0 1 0 The contents of the register represent a binary integer. Convert the binary integer to hexadecimal.[1]

Mark scheme

Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.

  1. 5(a) 1 mark for correct method, 1 mark for correct answer 32+16+8+1 (00)111001
  2. 5(b) registers must have leading zeros, allow follow through from 5(a) for an incorrect value 1 mark for each correct register. Register 1: 00111001 Register 2: 0000000000111001
  3. 5(c) Two from: ∞ data ∞ ASCII value / Unicode value / character ∞ number ∞ part of image / small image ∞ a sound / sound sample / small sound track ∞ instruction
  4. 5(d) 3A

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About this question

Topic
Data Representation, O-Level Computer Science (syllabus 2210). Structured question, 7 marks.
Source
O-Level Computer Science, May/June 2017 Paper 1 Variant 2, question 5.

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