2. Binary Addition

Binary Addition Rules

The binary addition rules are:

0 + 0 = 0

0 + 1 = 1

1 + 0 = 1

1 + 1 = 0 (and carry 1)

1 + 1 + 1 = 1 (and carry out).

These are demonstrated below:


Binary Addition – Example 1

The two numbers being added together are written on top of each other in the same way that long addition is performed with binary addition.

We then work from right to left applying the riles


Binary Addition – Example 2


Binary Addition – Example 3


Remember the Rules

Binary Shifts:

Binary shifts are used in computing to perform multiplication and division.

There are two types of shifts:

left shifts (multiplication)

right shifts (division)