## Denary to Binary: Division

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

- 141 divided by 2 is 70 remainder 1
- 70 divided by 2 is 35 remainder 0
- 35 divided by 2 is 17 remainder 1
- 17 divided by 2 is 8 remainder 1
- 8 divided by 2 is 4 remainder 0
- 4 divided by 2 is 2 remainder 0
- 2 divided by 2 is 1 remainder 0
- 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.

141_{10} is 10001101_{2}

We can check this using our base 2 table.

10001101_{2} is 128 + 8 + 4 + 1 = 141_{10}.

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