1. SYEN 3330 Digital SystemsJung H. Kim Chapter5-1 1 SYEN 3330 Digital Systems Chapter 5 – Part 1

2. SYEN 3330 Digital Systems Chapter 5-1 Page 2 Functional Blocks: Addition

3. SYEN 3330 Digital Systems Chapter 5-1 Page 3 Functional Block: Half-Adder

4. SYEN 3330 Digital Systems Chapter 5-1 Page 4 Logic Simplification: Half-Adder

5. SYEN 3330 Digital Systems Chapter 5-1 Page 5 Five Implementations: Half-Adder

6. SYEN 3330 Digital Systems Chapter 5-1 Page 6 Implementations: Half-Adder

7. SYEN 3330 Digital Systems Chapter 5-1 Page 7 Functional Block: Full-Adder

8. SYEN 3330 Digital Systems Chapter 5-1 Page 8 Design: Full-Adder

9. SYEN 3330 Digital Systems Chapter 5-1 Page 9 Design: Full-Adder

10. SYEN 3330 Digital Systems Chapter 5-1 Page 10 Implementation: Full Adder Full Adder Schematic 

11. SYEN 3330 Digital Systems Chapter 5-1 Page 11 Parallel Binary Adders

12. SYEN 3330 Digital Systems Chapter 5-1 Page 12 4-bit Ripple-Carry Binary Adder A four-bit Full Adder made from 4 single bit Full Adders:  CoCo CiCi xy S FA A(3) B(3) S(3) CoCo CiCi xy S FA B(2) S(2) CoCo CiCi xy S FA B(1) S(1) CoCo CiCi xy S FA S(0) B(0) A(2)A(1)A(0) C(4)C(3)C(2)C(1)C(0) A B P G S CoCo CiCi

13. SYEN 3330 Digital Systems Chapter 5-1 Page 13 Carry Propagation & Delay

14. SYEN 3330 Digital Systems Chapter 5-1 Page 14 Carry Look-Ahead

15. SYEN 3330 Digital Systems Chapter 5-1 Page 15 Carry Look-Ahead (Continued)

16. SYEN 3330 Digital Systems Chapter 5-1 Page 16 Carry Look-Ahead (Continued)

17. SYEN 3330 Digital Systems Chapter 5-1 Page 17 Group Carry Look-Ahead Logic