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Design and implementation of the modified signed digit multiplication routine on a ternary optical computer
Applied Optics
|October 20, 2017
Summary
This study introduces a modified signed digit (MSD) multiplication routine using optical computing to enhance accuracy and speed. The new method offers lower power consumption and reduced delays compared to traditional electronic computers.
Area of Science:
- Computer Science
- Optical Computing
- Arithmetic Circuits
Background:
- Traditional electronic computers exhibit limitations in multiplication accuracy and computational speed.
- The modified signed digit (MSD) system offers potential advantages for arithmetic operations.
Purpose of the Study:
- To develop and optimize an MSD multiplication routine leveraging ternary optical computing.
- To enhance calculation accuracy, reduce computation time, and lower power consumption for multiplication.
Main Methods:
- Established a modified signed digit (MSD) multiplication routine based on the MSD number system and carry-free adders.
- Designed a structured data processor utilizing ternary optical computer characteristics for parallel operations.
- Developed ternary optical operators to perform M transformations and summations concurrently.
Main Results:
- The MSD multiplication routine demonstrated high accuracy, adaptable to user-defined precision by allocating data bits.
- Simulation experiments confirmed the routine's effectiveness, aligning with expected outcomes.
- The optical MSD multiplication routine achieved faster computation and lower power consumption than electronic counterparts.
Conclusions:
- The developed MSD multiplication routine offers a superior alternative for high-precision, large-value data multiplication.
- Ternary optical computing provides a viable platform for accelerating iterative multiplication processes.
- This approach addresses the accuracy and speed limitations inherent in traditional electronic multiplication.
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