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Binary Byte Detective

KS3 / GCSE45-60 minutesClassPilot Binary Lab

Teacher overview

Prior knowledge: Learners should know that binary uses 0 and 1 and that each bit position has a place value.

Learning objective: Convert between 8-bit binary, decimal and simple hexadecimal while using evidence to decode a hidden message.

Starter

Show 01000001 and ask learners what changes when one bit is switched on or off.

Main task

  1. Complete the 8-bit place-value grid for 1, 2, 4, 8, 16, 32, 64 and 128.
  2. Convert 00001010, 00001111, 00100000, 01000001 and 01111111 into decimal.
  3. Convert 5, 12, 31, 64 and 100 into 8-bit binary.
  4. Use Binary Lab to test two answers, then explain any mistake found.
  5. Decode the message: 01001000 01001001. Each byte is an ASCII-style clue for a capital letter.

Support prompts

  • Start from the right-hand bit.
  • Add only the place values where the bit is 1.
  • Use leading zeroes to keep every answer at 8 bits.

Challenge

Convert 1111 to hexadecimal, then explain why 11111111 is FF.

Plenary or exit question

Which single bit change creates the biggest decimal change, and why?

Related tool

Open ClassPilot Binary Lab