Binary Addition

In this episode, you need to do a refresher course on how to add binary numbers together. You will need to know the addition process for the remainder of this course.

Study Notes

Steps to add Base-10 numbers

Remember back in grade school when you were taught how to add decimal numbers together using the positional notation? For example, to add 21 + 19 together, you do the following:

1. Add the ones column first, e.g. 1 + 9 = 10
2. Then you carry the 1, which is in the tens column, while leaving 0, as it represents no ones
3. Next you add the tens column, e.g. 1 + 2 + 1 = 4
4. Your answer is 40

Steps to add binary numbers

Binary addition is the same process as decimal. To add 7 + 2, you do the following steps:

1. Convert the 7 to 0111
2. Convert the 2 to 0010
3. Add the ones column, e.g. 1 + 0 = 1
4. Add the twos column, e.g. 1 + 1 = 10
5. Carry the 1 into the fours column and leave the 0 in the twos column
6. Add the twos column, e.g. 1 + 1 + 0 = 10
7. Carry the 1 into the eights column and leave the 0 in the fours column
8. Add the eights column, e.g. 1 + 0 + 0 = 1
9. Your answer is 1001

Binary Addition Cheatsheet