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AP® Computer Science Principles · Unit 2 · Topic 2.1

Binary Numbers: Topic Checklist (Computer Science Principles 2.1)

Specific I can statements for binary numbers, each linked to the guide section and practice question that tests it.

Work through the list without notes. If you cannot do a statement, follow its link, then come back. Guide = study guide; Practice = practice questions.

Understanding

  • I can define bit and byte and explain why computers use binary. (Guide: “Why does a computer use only 0 and 1?”; Practice Q5)
  • I can explain that n bits give 2 to the power n values and why each extra bit doubles the count. (Guide: “Comparing binary numbers and counting values”; Practice Q3)
  • I can explain that the same bits can mean different data in different contexts. (Guide: “Same bits, different meanings”; Practice Q7)
  • I can explain analog data, sampling and why digital data approximate analog data. (Guide: “Analog data, sampling and approximation”; Practice Q9)

Skills

  • I can convert a positive whole number from binary to decimal. (Guide: Worked example 1 part B; Practice Q1)
  • I can convert a positive whole number from decimal to binary and check it a second way. (Guide: Worked example 1 part A; Practice Q2, Q8)
  • I can compare and order binary numbers. (Guide: “Comparing binary numbers and counting values”; Practice Q4)
  • I can work out the number of bits needed to represent a given number of values. (Guide: Worked example 2 part (a); Practice question 10)

Reasoning

  • I can identify an overflow error and explain it using the range of n bits. (Guide: Worked example 2 part (b); Practice Q6)
  • I can tell overflow from round-off and describe what causes each. (Guide: “Limits: overflow and round-off”)
  • I can explain how a higher sampling rate or more bits per sample changes the approximation and the cost. (Guide: “Analog data, sampling and approximation”; Practice Q9)

All ticked? Move on to the Topic 2.2 study guide, Data Compression.

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