'Carry propagation' diaporamas de présentation

Lecture 18: Datapath Functional Units

Lecture 18: Datapath Functional Units. Outline. Multi-input Adders Comparators Shifters Multipliers More complex operations. Carry-Save Adders (CSA). You can use a carry save adder to add three n -bit operands A 0 , A 1 , and A 2 without performing any carry propagation.

2.02k views • 175 slides

6 ALU Blocks and Control

1.12k views • 76 slides

Computer arithmetic

Computer arithmetic. Second try at third grade. What is stored and intended. Bit patterns of several sizes, nothing more Almost all modern machines store and manipulate 1,2,4,8 byte quantities older ones had 12 ,40 ,36,60-bit words or decimal digit strings, or variable length BCD

603 views • 48 slides

9 Number Representation

666 views • 40 slides

Arithmetic ADD, SUB, MUL, DIV, etc Cost: Area, Speed, Power, Energy, Test, Yield

Binary Positive Number. Arithmetic ADD, SUB, MUL, DIV, etc Cost: Area, Speed, Power, Energy, Test, Yield (x 2 x 1 x 0 )= 4x 2 + 2 x 1 + x 0 Weighted, unique + : ADD Sometimes +: Logic-or. Addition Techniques. Half Adder Input: a,b; Output: Sum S, Carry C 2C ADD S = a ADD b

465 views • 40 slides

CSE 246: Computer Arithmetic Algorithms and Hardware Design

CSE 246: Computer Arithmetic Algorithms and Hardware Design. Winter 2004 Lecture 2. Instructor: Prof. Chung-Kuan Cheng. Topics:. Redundant Number Systems Residue Number Systems Mixed Radix Number Systems (as they pertain to conversions of Residue Number Systems). Redundant Number Systems.

324 views • 32 slides

Unconventional Fixed-Radix Number Systems

Unconventional Fixed-Radix Number Systems. Number system commonly used in arithmetic units - binary system with two's complement representation of negative numbers Other number systems have proven to be useful for certain applications - Negative radix number system Signed-digit number system

605 views • 31 slides

Unconventional Fixed-Radix Number Systems

Unconventional Fixed-Radix Number Systems. Number system commonly used in arithmetic units - binary system with two's complement representation of negative numbers Other number systems have proven to be useful for certain applications - Negative radix number system Signed-digit number system

337 views • 31 slides

Adders

792 views • 29 slides

Combinational Logic

Chapter 4. Combinational Logic. 4.1 Introduction. Logic circuits for digital systems may be. ?. combinational or sequential. A combinational circuit consists of logic gates. ?. whose outputs at any time are determined. from only the present combination of inputs. 2.

466 views • 28 slides

Part III The Arithmetic/Logic Unit

Part III The Arithmetic/Logic Unit. III The Arithmetic/Logic Unit. Overview of computer arithmetic and ALU design: Review representation methods for signed integers Discuss algorithms & hardware for arithmetic ops Consider floating-point representation & arithmetic.

473 views • 23 slides

Figure 10.1 Truth table and schematic diagram for a binary half-adder.

1. Figure 10.1 Truth table and schematic diagram for a binary half-adder. Figure 10.2 Truth table and schematic diagram for a binary full adder. Figure 10.3 Full adder implemented with two half-adders, by means of two 4-input multiplexers, and as two-level gate network.

208 views • 20 slides

Part III The Arithmetic/Logic Unit

Part III The Arithmetic/Logic Unit. III The Arithmetic/Logic Unit. 10 Adders and Simple ALUs. 10.1 Simple Adders. Figures 10.1/10.2 Binary half-adder (HA) and full-adder (FA). Full-Adder Implementations.

263 views • 16 slides

Reliable Binary Signed Digit Number Adder Design

Reliable Binary Signed Digit Number Adder Design. Han Liu Supervisor: Seok-Bum Ko Electrical & Computer Engineering Department 2010-Feb-23. Outline. Information of literature Background Carry Free Adder

291 views • 15 slides

Improved Design of High-Performance Parallel Decimal Multipliers

Improved Design of High-Performance Parallel Decimal Multipliers. Han Liu Supervisor: Seok-Bum Ko Electrical & Computer Engineering Department 2010-Mar-9. Outline. Information of literature Background Decimal Coding

310 views • 13 slides

Building Asynchronous Circuits With JBits

Building Asynchronous Circuits With JBits. Eric Keller eric.keller@xilinx.com FPL 2001. FPL2001. JBits Background. A Java API to configure Xilinx FPGA bitstreams Provides complete design control Routing CLB configuration Supports run-time reconfiguration

243 views • 13 slides

Lecture 23: Design of Adders (Part 3)

Lecture 23: Design of Adders (Part 3). PROF. INDRANIL SENGUPTA DEPARTMENT OF COMPUTER SCIENCE AND ENGINEERING. 16-bit Adder Using 4-bit CLA Modules. A 15 -A 12. A 11 -A 8. A 3 -A 0. A 7 -A 4. B 15 -B 12. B 7 -B 4. B 3 -B 0. B 11 -B 8. C 12. C 8. 4-bit CLA Adder. 4-bit CLA Adder.

138 views • 13 slides

271 views • 12 slides

Chap. 6 Digital Arithmetic: Operations & Circuits

Chap. 6 Digital Arithmetic: Operations & Circuits. Introduction This chapter will be concentrate on how computers perform the basic arithmetic operations 6-1 Binary Addition Addition is the most important operation in digital systems

484 views • 12 slides

CSE-221 Digital Logic Design (DLD)

CSE-221 Digital Logic Design (DLD). Lecture-:. Carry Propagation. t. G. We now write the Boolean functions for the carry outputs of each stage and substitute each C; its value from the previous equations:. BCD ADDER. C=K+Z 8 Z 4 +Z 8 Z 2

205 views • 7 slides