Binary Adding, Subtraction, Multiplicaton and Division
Adding, subtracting, multiplying and dividing binary numbers.
A binary signal or number is one that can take only one value: 1 or 0 -or on or off.
Addition Binary Numbers
Rule to follow when binary numbers are added:
- 0 + 0 = 0
- 0 + 1 = 1
- 1 + 0 = 1
- 1 + 1 = 0 (with a carry of 1)
Examples - Adding Binary and Decimal Numbers
| Decimal | Binary | |
|---|---|---|
| 1 | 5 + 6 = 11 |
101 + 110 = 1011 |
| 2 | 6 + 6 = 12 |
110 + 110 = 1100 |
| 3 | 15 + 20 = 35 |
1111 + 10100 = 100011 |
| 4 | 3.25 + 5.75 = 9.00 |
11.01 + 101.11 = 1001.00 |
Subtracting Binary Numbers
Rule to follow when binary numbers are subtracted:
- 0 - 0 = 0
- 1 - 0 = 1
- 1 - 1 = 0
- 0 - 1 = 1 (with a borrow of 1)
Examples - Subtracting Binary and Decimal Numbers
| Decimal | Binary | |
|---|---|---|
| 1 | 9 - 5 = 4 |
1001 - 101 = 0100 |
| 2 | 16 - 3 = 13 |
10000 - 11 = 01101 |
| 3 | 6.25 - 4.50 = 1.75 |
110.01 - 100.10 = 001.11 |
Multiplication of Binary Numbers
Rule to follow when binary numbers are multiplied:
- 0 x 0 = 0
- 0 x 1 = 0
- 1 x 0 = 0
- 1 x 1 = 1
Division of Binary Numbers
Rule to follow when binary numbers are divided:
- 0 / 1 = 0
- 1 / 1 = 1
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