Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Slide 1 Spezielle Anwendungen des VLSI – Entwurfs Applied VLSI design Course and Contest Results of Phase René Romann and Marian Haescher

Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Optimizing the Metric Slide 2 Parallelisation Hard-Wiring the Multipliers Reducing the Overall Error

Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Hardwired Multiplier - Principle Slide 3

Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Hardwired Multiplier - Principle Slide 3 0

Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Hardwired Multiplier - Principle Slide

Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Hardwired Multiplier - Principle Slide

Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Multiplier – Parallelization & Term Sharing Slide 4 Knowledge of constants a priori Adders only have 2 inputs Search for Common terms (e.g. 11, 101, 1001) Usage of tree-like structures

Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Multiplier – Parallelization & Term Sharing Slide

Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Multiplier – Parallelization & Term Sharing Slide

Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Multiplier – Parallelization & Term Sharing Slide

Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Error Reduction Slide 6 Rounding of End Values instead of simple cut off 010 [2] results in 01 [2] 011 [2] results in 10 [2]  Error Reduction to 0.25 instead of 0.5 before

Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Slide 7 Results of own implementation ParameterValues (Synthesis) Values (Backannotated) Area A (# of pairs) Frequency f MHz MHz # of cycles N cycles Operation time t OP μs µs E avg Metric [FF²*s] [FF²*s]