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Introduction to GCD Machine and Number Systems
Understand the operation of GCD and number systems representation in digital circuits in this free course.
Description
Introduction to GCD Machine and Number Systems is a free course that begins by introducing you to the design and implementation of the greatest common divisor (GCD) algorithm, as well as its translation to Verilog. You will also be introduced to the problems associated with GCD, as well as top-level modules in GCD machines. Go on to learn about instantiation and Verilog syntax representation of a controller and data path, including the writing of various data path elements and data path analysis.
The course then explains pipelining in digital circuit design, as well as using it to model real-world systems, including studying the terminologies related to pipelines and the methodologies for these circuits. You will be taught about the latency and throughput of a K-pipeline, ill-formed pipelines, as well as the concept of ‘after pipelining’. The applications of assignments and the modelling of circuits with pipelining in Verilog will also be covered.
Furthermore, you will get familiar with number system representation and the operational computation of signed numbers. You will learn about ripple carry adder, as well as the computation of number systems using the recursive doubling technique. This free online course will be of great use anyone with an interest in GCD machines, pipelining and number systems. If you register for this course now, you can start your next learning journey today.
Start Course NowModules
GCD Machine and Data path
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GCD Machine and Data path - Learning Outcomes
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GCD Algorithm
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GCD Machines Datapath
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GCD State Machine
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GCD Top Level Module
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Datapath in Verilog
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Datapath Elements in Verilog
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FSM in Verilog
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GCD Components Interlink
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GCD Machine and Data path - Lesson Summary
Pipelining and Statement Structure
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Pipelining and Statement Structure - Learning Outcomes
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Pipelining
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K-Stage Pipeline
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Interleaving and Parallelism
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Blocking and Non-blocking Statements
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Modeling Circuits with Pipelining
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Pipelining and Statement Structure - Lesson Summary
Number Representation and Arithmetic Circuits
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Number Representation and Arithmetic Circuits - Learning Outcomes
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Signed Number Representation
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Signed Number Addition
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Adder and Subtracter
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Fast Adders
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Multiplication
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Number Representation and Arithmetic Circuits - Lesson Summary
Course assessment
Learning Outcomes
Upon successful completion of this course, you should be able to:
- Discuss the design of the greatest common divisor (GCD) algorithm
- Outline the problems associated with the GCD
- Analyze the description and connections of a data path
- Explain the concept of pipelining in digital circuit design
- Analyze the methodology for pipelining circuits
- Analyze the concept of pipeline interleaving and parallelism
- Discuss the modeling of circuits with pipelining in Verilog
- Outline the connection between pipelining, interleaving and parallelism
- Discuss number representation and the positional number system
- Analyze the representation of signed numbers
- Discuss the purpose and uses of the ripple carry adder
- Analyze the computation of number systems using the recursive doubling technique
Certification
All Alison courses are free to enrol, study and complete. To successfully complete this Certificate course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Certificate course, you have the option to acquire an official Certificate, which is a great way to share your achievement with the world. Your Alison Certificate is:
Ideal for sharing with potential employers - include it in your CV, professional social media profiles and job applications
An indication of your commitment to continuously learn, upskill and achieve high results
An incentive for you to continue empowering yourself through lifelong learning
Alison offers 3 types of Certificates for completed Certificate courses:
Digital Certificate - a downloadable Certificate in PDF format, immediately available to you when you complete your purchase
Certificate - a physical version of your officially branded and security-marked Certificate, posted to you with FREE shipping
Framed Certificate - a physical version of your officially branded and security-marked Certificate in a stylish frame, posted to you with FREE shipping
All Certificates are available to purchase through the Alison Shop. For more information on purchasing Alison Certificates, please visit our FAQs. If you decide not to purchase your Alison Certificate, you can still demonstrate your achievement by sharing your Learner Record or Learner Achievement Verification, both of which are accessible from your Dashboard. For more details on our Certificate pricing, please visit our Pricing Page.
