Computer Science › Section B · Data storage › Topic B.5

The binary system

Every number a computer handles is ultimately a row of 0s and 1s. Reading, writing and adding those rows by hand is the skill that makes integers, fractions and every later data format make sense.

In this topic

  • Place value with a different base
  • Reading a binary numeral
  • From decimal to binary: subtract powers of two
  • Worked example: repeated division by two
  • Adding in binary
  • Worked example: adding two binary numbers
  • Fractions and the radix point
  • Worked example: a decimal fraction in binary
  • Hexadecimal as a number system
  • Common mistakes to avoid
  • Key takeaways

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