Complex multiplier using Vedic mathematics
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This document describes a proposed design for a high-speed complex multiplier using Vedic mathematics techniques. The objectives are to implement a complex multiplier using Vedic mathematics, increase the speed of the multiplier, and reduce its power. It introduces Vedic mathematics and the existing array multiplier method. The proposed method implements the Urdhva-tiryakbhyam and Nikhilam Navatashcaramam Vedic multiplication algorithms for the complex multiplier. Simulation results show the implementation of these Vedic sutras for the complex multiplier provides substantial speed and power improvements over the existing array multiplier approach.
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The introduction of DLAU and the CCB & CCX licensing model caused quite a stir in the HCL community. As a Notes and Domino customer, you may have faced challenges with unexpected user counts and license costs. You probably have questions on how this new licensing approach works and how to benefit from it. Most importantly, you likely have budget constraints and want to save money where possible. Don’t worry, we can help with all of this!
We’ll show you how to fix common misconfigurations that cause higher-than-expected user counts, and how to identify accounts which you can deactivate to save money. There are also frequent patterns that can cause unnecessary cost, like using a person document instead of a mail-in for shared mailboxes. We’ll provide examples and solutions for those as well. And naturally we’ll explain the new licensing model.
Join HCL Ambassador Marc Thomas in this webinar with a special guest appearance from Franz Walder. It will give you the tools and know-how to stay on top of what is going on with Domino licensing. You will be able lower your cost through an optimized configuration and keep it low going forward.
These topics will be covered
- Reducing license cost by finding and fixing misconfigurations and superfluous accounts
- How do CCB and CCX licenses really work?
- Understanding the DLAU tool and how to best utilize it
- Tips for common problem areas, like team mailboxes, functional/test users, etc
- Practical examples and best practices to implement right away
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Complex multiplier using Vedic mathematics
- 1. HIGH SPEED DESIGN OF COMPLEX MULTIPLIER USING VEDIC MATHEMATICS GUIDED BY S.AISHWARYA Dr.S.SASIKUMAR P.ANITHA A.KARTHIGA R.RAJASHRI
- 2. OBJECTIVE To implement a complex multiplier using vedic mathematics. To increase the speed of the multiplier. To reduce the power of the multiplier.
- 3. ABSTRACT Vedic Mathematics is the ancient methodology of Indian mathematics which has a unique technique of calculations based on 16 Sutras. The implementation of the Vedic mathematics and their application to the complex multiplier ensure substantial reduction of propagation delay .
- 4. INTRODUCTION Here multiplication algorithms are used for the implementation. Vedic mathematics uses two sutras for multiplication. The sutras are * Urdhva-tiryakbhyam * Nikhilam Navatashcaramam
- 5. WHAT IS VEDIC MATHEMATICS Vedic mathematics is the name given to the ancient system of mathematics. It’s a unique technique of calculations based on simple principles and rules. Arithmetic, algebra, geometry or trigonometry can be solved mentally
- 6. EXISTING METHOD In the existing methods several multipliers are used , here we consider the array multiplier.
- 7. ARRAY MULTIPLIER Y0 Y1 X3 X2 X1 X0 X3 HA X2 FA X1 FA X0 HA Y2 X3 FA X2 FA X1 FA X0 HA Z1 Z3 Z6 Z7 Z5 Z4 Y3 X3 FA X2 FA X1 FA X0 HA Z2 Z0
- 8. PROPOSED METHOD Implementation of vedic multiplier algorithms such as * Urdhva - tiryakbhyam * Nikhilam Navatashcaramam Multiplication of complex multiplier is also implemented.
- 9. Urdhva-tiryakbhyam Meaning – Vertically & Crosswise Two Digits & Three Digits
- 10. Example 1 0 0 0 x 0 1 1 0 Step 1: 1 0 0 0 0 1 1 0 ---------- 0
- 11. Cont…. Step 2: 1 0 0 0 0 1 1 0 --------- 0 0 .
- 12. Cont… Step 3: 1 0 0 0 0 1 1 0 ------------- 0 0 0 ------------ .
- 13. Cont… Step 4: 1 0 0 0 0 1 1 0 ------------ 0 0 0 0
- 14. Cont… step 5: 1 0 0 0 0 1 1 0 ------------- 1 0 0 0 0
- 15. Cont… Step 6: 1 0 0 0 0 1 1 0 ------------------ 1 1 0 0 0 0
- 16. Cont… Step 7: 1 0 0 1 0 1 1 0 ------------------ 0 1 1 0 0 0 0
- 17. Nikhilam Navatashcaramam Dashatah Meaning – All from 9 and the last from 10 8 2 8 2 6 4 6 4 ------------------ ---------------- 8 4 (6-2) 8 2 6 4 ------------- 4 8
- 18. Example
- 20. ARCHITECTURE DESIGN This architecture is divided into three parts. Radix Selection Unit . Exponent Determinant . Multiplier .
- 24. SIMULATED RESULT OF COMPLEX MULTIPLIER
- 25. SIMULATED RESULT OF URDHVA SUTRA
- 26. SIMULATED RESULT OF NIKILAM SUTRA
- 27. COMPARISON
- 28. CONCLUSION Thus the vedic mathematics is implemented with high speed and reduced power.
- 29. THANK YOU