Addition of binary numbers, or numbers in base two, follows the same method as with the addition of other base numbers.
In this lesson, you will learn the step-by-step method for the addition of binary numbers, or numbers in base two.
Question on the addition of binary numbers
Let’s take an example:
Add 1112 and 1102
Position the numbers
Arrange the numbers exactly how you would arrange them in your normal addition.
|You can decide not to include the base beside the numbers but remember the base for subsequent steps below.|
Start your addition
Start from the back as you do in your normal addition.
|1 + 0 = 1|
The answer 1 is smaller than our base 2, so there is no need for breaking it down.
Continue your addition
|1 + 1 = 2|
The answer 2 is equal to our base 2, so we use repeated division to break 2 down to (1, 0).
Write down the last digit (0) and carry (1) over to the next addition.
STEP 4 — final answer
Finish your addition
1 1 0
|1 + 1 = 2|
2 + 1 (carried over) = 3
The answer 3 is bigger than our base 2, so we use repeated division to break 3 down to (1, 1)
Write down the entire number (1, 1) because there is no next addition to carry anything over to.
1112 + 1102
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