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3.3.2 - Converting Number Bases

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Learning Objectives
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 3.3.2.3 I can convert from binary to decimal.
 3.3.2.3 I can convert from decimal to binary.
 3.3.2.4 I can convert in both directions between binary and hexadecimal.

🏁 Learning Objective 3.3.2 - Converting Number Bases


Lesson Video

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Converting between decimal & Binary - Learning Activities


Converting number bases

Click on the image below to try the number base abacus


Task: Converting number bases

Complete as many of the following number base conversions as you can

Questions

Convert the following Binary numbers to decimal

  1. 1101
  2. 11101
  3. 01011101
  4. 11011101
  5. 01011001
  6. 11111111

Convert the following denary numbers to binary

  1. 13
  2. 27
  3. 56
  4. 101
  5. 147
  6. 211

Convert the following denary numbers to binary

  1. 2416
  2. 4195


Task: Binary Permutations Challenge

The aim of this challenge is to write a procedure called listAllBinaryPermutations() that will take one parameter called numberOfBits and outputs all possible binary permutations depending on the number of bits.

Click on the binary image below to complete the task.



Learning Outcomes

  • I can understand what a number base is and do a simple
    conversion between them with a little help.

  • I can understand what a number base is and do simple
    conversions between them.

  • I can understand what a number base is and can
    convert between them in both directions.



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Teacher Date: 2025-09-28


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