There are just a few rules for adding binary numbers together
0 + 0 = 0
0 + 1 = 1
1 + 1 = 0 carry 1
1 + 1 + 1 = 1 carry 1
As we know from basic mathematics 1 + 0 is the same as 0 + 1. Similarly any combination of 1, 1 and 0 is still the same as 1 + 1.
Use the area below to generate a random binary addition problem.
For our example let's add the binary numbers 10010011 and 00011010
The first step is to draw out a table and fill it in with the column headings for binary. Remember, the column headings in binary start at 1 on the right and double as you move left like below.
| Carries | 1 | 1 | Decimal | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Number_1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 147 |
| Number_2 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 26 |
| Answer | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 173 |
In an exam question it is essential to always clearly show your carries as if your working is clear and you make a small error you may gain part marks.
| Carries | ||||||||
|---|---|---|---|---|---|---|---|---|
| Number_1 | ||||||||
| Number_2 | ||||||||
| Answer |
Generate a sum, do the addition and check your answer below