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Learning objective

(a) Grasp the concepts of denary, binary, and hexadecimal number systems. (b) Be able to convert between (i) positive denary and positive binary, (ii) positive denary and positive hexadecimal, (iii) positive hexadecimal and positive binary. Note: Denary is base 10, binary is base 2, and hexadecimal is base 16. Only integer values will be used, and conversions must be performed in both directions, with a maximum binary number length of 16 bits.

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  • Read the explanation.
  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE Computer ScienceData representation

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Quick explanation

(a) Grasp the concepts of denary, binary, and hexadecimal number systems. (b) Be able to convert between (i) positive denary and positive binary, (ii) positive denary and positive hexadecimal, (iii) positive hexadecimal and positive binary. Note: Denary is base 10, binary is base 2, and hexadecimal is base 16. Only integer values will be used, and conversions must be performed in both directions, with a maximum binary number length of 16 bits

  • This point belongs to Number systems, especially Number systems outcomes.
  • You need to be able to (a) Grasp the concepts of denary, binary, and hexadecimal number systems. (b) Be able to convert between (i) positive denary and positive binary, (ii) positive denary and positive hexadecimal, (iii) positive hexadecimal and positive binary. Note: Denary is base 10, binary is base 2, and hexadecimal is base 16. Only integer values will be used, and conversions must be performed in both directions, with a maximum binary number length of 16 bits.
  • The key ideas to know are Define, Calculate, and Show.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

DefineCalculateShow

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Paper 1 structured question: Number systems

Paper 1Computer Systems1 marks

Description

Number System Conversion

Convert the following denary numbers to binary and hexadecimal: 10, 255.

  1. a

    State the binary equivalent of 10.

    Aim for approximately 1 distinct marking point.

    [1]
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