1. Arithmetic in Binary

2. Addition A “Rule of Addition” is a statement of the form: 3 + 5 = 8 How many such rules are there in Decimal?

3. Addition 10 digits can appear as the first addend, and 10 can appear as the second, so Decimal has 10 * 10, or 100 “Rules of Addition”

4. Binary Addition In Binary there are 4 “Rules of Addition”: 0 + 0 = 0 0 + 1 = 1 1 + 0 = 1 1 + 1 = 10

5. Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal. 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0

6. Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal. 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0

7. Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal. 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0

8. Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal. 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0

9. Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal. 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0

10. Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal. 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0

11. Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal. 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0

12. Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal. 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0

13. Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal. 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0

14. Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal. 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0