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Number systems

1.1

What the syllabus asks of you

  • Understand how and why computers use binary to represent all forms of data
  • (a) Understand the denary, binary and hexadecimal number systems (b) Convert between (i) positive denary and positive binary (ii) positive denary and positive hexadecimal (iii) positive hexadecimal and positive binary
  • Understand how and why hexadecimal is used as a beneficial method of data representation
  • (a) Add two positive 8-bit binary integers (b) Understand the concept of overflow and why it occurs in binary addition
  • Perform a logical binary shift on a positive 8-bit binary integer and understand the effect this has on the positive binary integer
  • Use the two’s complement number system to represent positive and negative 8-bit binary integers

Read the notes first

Chapter 1: Number systems

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Drill this topic

All 45 questions on Number systems, 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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45 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.