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Floating-point numbers, representation and manipulation: CAIE A‑Level Computer Science questions

Every CAIE A-Level Computer Science exam question on 13.3 Floating-point numbers, representation and manipulation, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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Calculations

198 questions

  1. Q1(a)

    June 2024 · Paper 3

    3 marks13.3 Floating-point numbers, representation and manipulation
    The whole paper ↗
    The start of question 1

  2. Q1(b)

    June 2024 · Paper 3

    3 marks13.3 Floating-point numbers, representation and manipulation
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    The start of question 1

  3. Q1(a)

    Specimen · Paper 3

    3 marks13.3 Floating-point numbers, representation and manipulation
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    The start of question 1

  4. Q1(b)

    Specimen · Paper 3

    3 marks13.3 Floating-point numbers, representation and manipulation
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    The start of question 1

  5. Q1(c)

    Specimen · Paper 3

    3 marks13.3 Floating-point numbers, representation and manipulation
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    The start of question 1

  6. Q1(d)(i)

    Specimen · Paper 3

    1 mark13.3 Floating-point numbers, representation and manipulation
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    The start of question 1

  7. Q1(d)(ii)

    Specimen · Paper 3

    1 mark13.3 Floating-point numbers, representation and manipulation
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    The start of question 1

  8. Q1(e)

    Specimen · Paper 3

    4 marks13.3 Floating-point numbers, representation and manipulation
    The whole paper ↗
    The start of question 1
All 8 questions on Floating-point numbers, representation and manipulation, as a list
  1. June 2024, Paper 3, Q1(a) (3 marks): Calculate the denary value of the given normalised floating-point number. Show your working. Mantissa Exponent 0 1 0 0 1 1 1 1 0 0 0 0 1 0 0 1 Working Answer [3
  2. June 2024, Paper 3, Q1(b) (3 marks): Calculate the normalised floating-point representation of –102.75 in this system. Show your working. Mantissa Exponent Working [3]
  3. Specimen, Paper 3, Q1(a) (3 marks): Calculate the normalised floating-point representation of +4.5 in this system. Show your working. Mantissa Exponent Working [3]
  4. Specimen, Paper 3, Q1(b) (3 marks): Calculate the normalised floating-point representation of −4.5 in this system. Show your working. Mantissa Exponent Working [3]
  5. Specimen, Paper 3, Q1(c) (3 marks): Calculate the denary value for the following binary floating-point number. Show your working. Mantissa Exponent 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 1 Working Answer [
  6. Specimen, Paper 3, Q1(d)(i) (1 mark): State whether the floating-point number given in part (c) is normalised or not normalised. [1]
  7. Specimen, Paper 3, Q1(d)(ii) (1 mark): Justify your answer given in part (d)(i). [1]
  8. Specimen, Paper 3, Q1(e) (4 marks): The system changes so that it now allocates eight bits to both the mantissa and the exponent. Explain two effects this has on the numbers that can be represente

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