1. 1 Serial Multiplier Ann Zhou Ying Yan Wei Liang Advisor: David Parent May 17 th, 2004

2. 2 Agenda Abstract Introduction –Why –Simple Theory –Back Ground information (Lit Review) Summary of Results Project (Experimental) Details Results Cost Analysis Conclusions

3. 3 Abstract We designed a 5-bit serial multiplier that operated at 200 MHz and used 3.8W/cm 2 of Power and occupied an area of 767x189  m 2 3.8W/cm 2, no cooling is needed

4. 4 Introduction Advantages over equivalent parallel multiplier Huge reduction in the required hardware in applications where high data rates are not necessary Reduce input and output routing

5. 5 Serial multiplier schematic

6. 6 Project Details Hand calculations for the longest path Final schematic Verilog Waveform and Testbench Final layout Verification (DRC and LVS) Final simulation (post extracted)

7. 7 Longest Path Calculations Note: All widths are in microns and capacitances in fF Logic Level GateCg to Drive #CD N s #CDPs#LNs#LPsWN (H.C) WP (H.C) Cg of gate 1DFF-NAND33053315.162.9615.14 2DFF-NAND215.1432211.5 5.1 3DFF-INV5.111111.52.5676.95 4XOR2-AOI6.9566221.682.7967.62 5XOR2-INV7.6211111.52.5676.95 6XOR2-AOI6.9566221.682.7967.62 7XOR2-INV7.6211111.52.5676.95 8AND2-INV17.1511111.52.5676.95 9AND2-AOI6.9532211.5 5.10 10LATCH-NAND25.1032211.5 5.10 11LATCH-AOI5.1033221.52.2246.34

8. 8 One Bit Schematic

9. 9 Schematic

10. 10 Verilog Testbench

11. 11 Verilog waveform

12. 12 Layout

13. 13 Verification

14. 14 Simulations

15. 15 Cost Analysis Estimate the time we spent on each phase of the project –verifying logic (four weeks) –verifying timing (one week) –layout (two weeks) –post extracted timing (one week)

16. 16 Lessons Learned Verify the logic of the design before layout Plan the cell height Avoid using metal3 to route power and ground

17. 17 Summary We designed a 5-bit serial multiplier that operated at 200 MHz and used 3.8W/cm 2 of Power and occupied an area of 767x189  m 2 Compared with equivalent parallel multiplier, our design saved a lot of hardware and area in applications not requiring very high data rates.

18. 18 Acknowledgements Thanks to Cadence Design Systems for the VLSI lab Thanks to Synopsys for Software donation Thanks to Professor D.Parent Thanks to our EE166 classmates