1. 350151 – Digital Circuit 1 Choopan Rattanapoka
Binary Arithmetic
– Digital Circuit 1
Choopan Rattanapoka

2. Binary Arithmetic Addition ( + ) Subtraction ( - )
Multiplication ( x )
Division ( / )

3. Binary Addition (1)
Recall decimal addition

4. Binary Addition (2)
Binary addition

5. Example Add the following binary numbers : 10010011 + 01001011 1 1
1 1 +

6. Exercise 1
Add the following binary numbers (answer in binary and decimal number) :

7. Binary Subtraction (1) Recall decimal subtraction 100 – 28 9 0 10 10
1 0 0
- 2 8
7 2

8. Binary Subtraction (2)
0 - 0 = 0  0 borrow = 1  1 borrow = 1  1 borrow = 0  0 borrow 0
0 2
10 – 01  -
0 1

9. Example
11011 – 10101
0 2

10. Exercise 2
Subtract the following binary numbers (answer in binary and decimal number) :

11. Binary Multiplication (1)
Recall decimal multiplication
125 x 12
1 2 5
x 1 2
2 5 0 +

12. Binary Multiplication (2)
A basic rules for binary multiplication
0 x 0  0
0 x 1  0
1 x 0  0
1 x 1  1

13. Example
x 1101 x + + +

14. Exercise 3 Multiply the following binary numbers: 110 x 10 0110 x 1010

15. Binary Division
Recall decimal devision
125 / 5
2 5
1 0 - -

16. Example
/ 101

17. Exercise 4 Divide in binary: 10001101 / 110 110000011 / 1011
/ 1010

18. Exercise 5 (TODO) Add, Subtract, and multiply in binary:
Divide in binary:
/ 101
/ 1110
/ 1001