Binary

Contents
  1. Binary
  2. Converting between Binary and Denary

1. Binary

CPUs are made up of billions of tiny switches. These switches can either be on or off and cannot work with the numbers we use (denary, 0-9) or our languages. Everything on a computer must be broken down to binary (0s and 1s). 0 = Off 1 = On Humans use denary numbers and It’s difficult for humans to understand binary numbers. We can convert between binary and denary numbers.

 At GCSE, you will only ever work with 8 bit numbers - binary numbers which contain 8 ones or zeros. For example:

0110 1110



2. Converting between Binary and Denary

As humans we use denary numbers (most of the time) and these have to be stored as binary on a computer - so we have to be able to convert between the two.

 

To convert back from a denary number to a binary number, we can run the above steps in reverse, subtracting the column headings from the denary number in order.