Booth’s Algorithm • Notice the following equality (Booth did) • 2J + 2J–1 + 2J–2 + … + 2K = 2J+1 – 2K • Example: 0111 = 1000 - 0001 • We can exploit this to create a faster multiplier • How? • Sequence of N 1s in the multiplier yields sequence of N additions • Replace with one addition and one subtraction © 2009 Daniel J. Sorin from Roth and Lebeck ECE 152 44 Booth In Action • For each multiplier bit‚ also examine bit to its right • • • • 00: 10: 11: 01: middle of a run of 0s
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Ramya Yapala VHDL IMPLEMENTAION USING SPIKE SORTING ALGORITHM A THESIS SUBMITTED IN PARTIAL FULFILMENT OF THE DEGREE OF MASTER OF SCIENCE IN MICRO ELECTRONICS VHDL IMPLEMENTATION USING SPIKE SORTING ALGORITHM A Thesis submitted to Newcastle University for the degree of MSc Micro Electronics 2011 Supervisor: Dr Graeme Chester Student Name: Ramya Yapala Student Number: 109230832 SCHOOL OF ELECTRICAL‚ ELECTRONIC AND COMPUTER ENGINEERING NEWCASTLE UNIVERSITY SCHOOL OF ELECTRICAL
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RESEARCH CENTRE FOR INTEGRATED MICROSYSTEMS - UNIVERSITY OF WINDSOR Multipliers‚ Algorithms‚ and Hardware Designs Mahzad Azarmehr Supervisor: Dr. M. Ahmadi Spring 2008 Multipliers‚ Algorithms and Hardware Designs 1 RESEARCH CENTRE FOR INTEGRATED MICROSYSTEMS - UNIVERSITY OF WINDSOR Outline • • Survey Objectives Basic Multiplication Schemes •Shift/Add Multiplication Algorithm •Basic H d B i Hardware M lti li Multiplier • High-Radix Multipliers •Multiplication of Signed
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Hardware Design with VHDL Design Example: VGA ECE 443 VGA (Video Graphics Array) Here we consider an 8 color 640-480 pixel resolution interface for the CRT Vertical deflection coil Horizontal deflection coil Electron gun mono hsync vsync Horizontal osc and amp Vertical osc and amp Phosphor coated screen Electron beam The electron gun generates a focused electron beam that strikes the phosphor screen The intensity of the electron beam and the brightness of the dot are
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Algorithm Analysis and Design NP-Completeness Pham Quang Dung Hanoi‚ 2012 Pham Quang Dung () Algorithm Analysis and Design NP-Completeness Hanoi‚ 2012 1 / 31 Outline 1 Easy problems - class P Decision problems vs. Optimization problems Class NP Reductions NP-complete class 2 3 4 5 Pham Quang Dung () Algorithm Analysis and Design NP-Completeness Hanoi‚ 2012 2 / 31 Class P: Problems that are solvable by polynomial-time algorithms (O(nk ) where n
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Infineon technologies Chapter 1 VHDL Coding Guidelines SC Highway Release 2.1‚ June 26‚ 2000 Application Notes 1 VHDL Coding Guidelines Infineon technologies 1.1 Introduction Coding of design behaviour and architecture is one of the most important steps in the whole chip design project. It has major impact on logic synthesis and routing results‚ timing robustness‚ verifiability‚ testability and even product support. The VHDL Coding Guidelines help chip and macro development
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510.6401 Design and Analysis of Algorithms January 21‚ 2008 Problem Set 1 Due: February 4‚ 2008. 1. In the bin packing problem‚ the input consists of a sequence of items I = {1‚ . . . ‚ n} where each item i has a size‚ which is a real number 0 ≤ ai ≤ 1. The goal is to “pack” the items in the smallest possible number of bins of unit size. Formally‚ the items should be partitioned in disjoint subsets (bins)‚ such that the total size in each bin is at most 1. The first fit heuristic scans the items
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TK3043 : Analysis and Design of Algorithms Assignment 3 1. Compute the following sums: a. ∑ Answer: =∑ =u–1+1 = (n + 1) – 3 + 1 =n+1–2 =n-2 b. ∑ Answer: =∑ = [1 + 2] + … + n =∑ + (n + 1) – (1 + 2) =∑ + (n + 1) – 3 =∑ +n –2 = n(n + 1) + (n - 2) 2 = n2 + n + (n - 2) 2 = n2 + 3n – 4 2 c. ∑ Answer: ∑ =∑ =∑ = n (n+1) (2n + 1) + n (n+1) 6 2 = (n - 1) (n -1 + 1) (2 ( n –1) +1) + (n - 1) (n – 1 + 1) 6 2 = (n - 1) (n) (2n – 2 + 1) + (n – 1) (n) 6 2 2 = (n - n) (2n
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Verilog HDL: A Guide to Digital Design and Synthesis‚ Second Edition By Samir Palnitkar Publisher: Prentice Hall PTR Pub Date: February 21‚ 2003 ISBN: 0-13-044911-3 Pages: 496 Written for both experienced and new users‚ this book gives you broad coverage of Verilog HDL. The book stresses the practical design and verification perspective ofVerilog rather than emphasizing only the language aspects. The informationpresented is fully compliant with the IEEE 1364-2001 Verilog HDL standard. • • • •
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be preparing my designs. After determining the requirements of the clients‚ analysing the information I had gathered‚ and identifying problems faced by Larry’s Leisure Centre. I was equipped to begin the design for the new system. Design Adopting a top-down approach‚ I initially planned out a very basic model which allowed me to understand the tables and relationships I may include in my database (Appendix 1). I then captured the data requirements for the new system by using an entity relationship
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