Topic Content:
- Binary Arithmetic Operations – Addition
Basic arithmetic operations of addition, subtraction, multiplication, and division are carried out in their bases similar to base 10.
Addition:
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 |
Remember that in base 10, 1 + 1 = 2, But 2 in base 2 is 10. therefore, in binary 1 + 1 = 10.
Worked Example 2.1.1:
Solve the following;
a. Add 111two and 101two
b. Add 1101two + 10001two + 1011two
c. 1.1011two + 10.1001two + 10.01two
d. 1011two + 1101two
e. 10011two + 1101two + 111two
Solution
a. Add 111two and 101two
Answer = 1100two
Explanation:
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