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Topic Content:
- Rules of Binary Addition
- Worked Examples
It is possible to add, subtract and multiply binary numbers in a similar way to base ten numbers. The main things to remember in base two are the following
Below are rules of binary addition:
- 1 + 0 = 1
- 0 + 0 = 0
- 0 + 1 = 1
- 1 + 1 = 10
- 1 + 1 + 1 = 11
| Rule | A + B | Sum (What we write down) | Carry (What we write carry) |
| 1. | 0 + 0 | 0 | 0 |
| 2. | 0 + 1 | 1 | 0 |
| 3. | 1 + 0 | 1 | 0 |
| 4. | 1 + 1 | 0 | 1 |
| 5. | 1 + 1 + 1 | 1 | 1 |
Worked Example 4.1.1:
Add 111two to 11two
⇒ 111two + 11two = 1010two
Explanation:
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