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GCSENumber Systems

Number Conversions

Master converting between binary, denary, and hexadecimal number systems. Essential skills for GCSE J277 Computer Science.

Binary to Denary Conversion

To convert a binary number to denary, follow this method:

  1. Write out the 8 place value headings (128, 64, 32, 16, 8, 4, 2, 1)
  2. Write the binary number underneath, aligning the rightmost digit with the rightmost place value
  3. Identify all positions where there is a "1"
  4. Add up the place values where you have a "1"
  5. This sum is your denary answer

Guided Practice

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Independent Practice

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