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Floating-point numbers, representation and manipulation

13.3

What the syllabus asks of you

  • Describe the format of binary floating-point real numbers
  • Convert binary floating-point real numbers into denary and vice versa
  • Normalise floating-point numbers
  • Show understanding of the consequences of a binary representation only being an approximation to the real number it represents (in certain cases)
  • Show understanding that binary representations can give rise to rounding errors

Read the notes first

Chapter 13: Floating-point numbers, representation and manipulation

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Drill this topic

All 23 questions on Floating-point numbers, representation and manipulation, untimed — answer on paper, then mark yourself against the mark scheme.

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Make a worksheet

Choose the years and how many questions, then print it with the answers on separate pages.

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23 questions

These are structured questions, answered in working rather than by picking an option, so they are not listed here one by one. The drill above puts each in front of you with its mark scheme to check against.