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Denary to Binary: Division

This method uses the remainder when successively dividing by two to convert the number. For example:

  1. 141 divided by 2 is 70 remainder 1
  2. 70 divided by 2 is 35 remainder 0
  3. 35 divided by 2 is 17 remainder 1
  4. 17 divided by 2 is 8 remainder 1
  5. 8 divided by 2 is 4 remainder 0
  6. 4 divided by 2 is 2 remainder 0
  7. 2 divided by 2 is 1 remainder 0
  8. 1 divided by 2 is 0 remainder 1

We can then write down our new binary number simply by taking each remainder reading from the bottom up.

14110 is 100011012

We can check this using our base 2 table.

100011012 is 128 + 8 + 4 + 1 = 14110.

1

Conversion

What is 169 in base 2 (binary)?

Check your answer

Next: Denary to Binary: Subtraction