Digital Arithmetics, 6 credits

Digital aritmetik, 6 hp

TSTE18

The course is disused.

Main field of study

Electrical Engineering

Course level

Second cycle

Course type

Programme course

Examiner

Oscar Gustafsson

Director of studies or equivalent

Tomas Svensson

Education components

Preliminary scheduled hours: 58 h
Recommended self-study hours: 102 h
ECV = Elective / Compulsory / Voluntary
Course offered for Semester Period Timetable module Language Campus ECV
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 9 (Autumn 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 9 (Autumn 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Electronics) 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Electronics) 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Electronics) 9 (Autumn 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Electronics) 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Electronics) 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Electronics) 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (System-on-Chip) 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (System-on-Chip) 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (System-on-Chip) 9 (Autumn 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (System-on-Chip) 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (System-on-Chip) 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (System-on-Chip) 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering (Electronics) 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering (System-on-Chip) 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CDDD Computer Science and Engineering, M Sc in Engineering 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CDDD Computer Science and Engineering, M Sc in Engineering (Electronics) 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CDDD Computer Science and Engineering, M Sc in Engineering (System-on-Chip) 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6MELE Electronics Engineering, Master's programme (Analogue/Digital and RF IC Design) 3 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6MELE Electronics Engineering, Master's programme (System-on-Chip) 3 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CITE Information Technology, M Sc in Engineering (Electronics) 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E
6CITE Information Technology, M Sc in Engineering (System-on-Chip) 9 (Autumn 2017) 1, 2 3, 3 English Linköping, Valla E

Main field of study

Electrical Engineering

Course level

Second cycle

Advancement level

A1X

Course offered for

  • Computer Science and Engineering, M Sc in Engineering
  • Applied Physics and Electrical Engineering, M Sc in Engineering
  • Electronics Engineering, Master's programme
  • Applied Physics and Electrical Engineering - International, M Sc in Engineering
  • Information Technology, M Sc in Engineering

Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

Prerequisites

Basic courses in switching theory and digital design with VHDL or Verilog

Intended learning outcomes

Provide knowledge of different ways to perform numerical computations in integrated circuits.After the course, the student is expected to be able to:

  • Describe and use different number representations suitable for implementation in an integrated circuit
  • Design and verify circuits that perform basic arithmetic operations such as addition, subtraction, multiplication, and division
  • Describe and analyze different methods to speed up carry propagation
  • Describe and analyze floating-point number representations and operations
  • Describe and analyze methods for approximation of elementary functions

Course content

  • Number representations with binary values: fixed-point and floating-point
  • Algorithms for and implementation of operations:
    • Addition and subtraction of two numbers
    • Carry propagation, when is it needed and how to speed it up
    • Multi-operand addition
    • Multiplication, with and without sign
    • Division
    • Square root
    • Approximation of elementary functions
  • Alternative number representations such as decimal, residue, and logarithmic number systems
  • What is used in the latest commercial circuits?

Teaching and working methods

The course is organized with combined lectures/exercises, computer exercises, laboratory work, and a small project assignment.
The course runs over the entire autumn semester.

Examination

UPG1Assignment2 creditsU, G
LAB1Laboratory work4 creditsU, G
Grades are given as ’Fail’ or ’Pass’.

Grades

Two-grade scale, U, G

Department

Institutionen för systemteknik

Director of Studies or equivalent

Tomas Svensson

Examiner

Oscar Gustafsson

Course website and other links

http://www.isy.liu.se/en/edu/kurs/TSTE18/

Education components

Preliminary scheduled hours: 58 h
Recommended self-study hours: 102 h

Course literature

Additional literature

Books

  • M. D. Ercegovac and T. Lang, (2004) Digital Arithmetic Morgan Kaufmann

Articles

Code Name Scope Grading scale
UPG1 Assignment 2 credits U, G
LAB1 Laboratory work 4 credits U, G
Grades are given as ’Fail’ or ’Pass’.

Regulations (apply to LiU in its entirety)

The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva. 

Additional literature

Books

M. D. Ercegovac and T. Lang, (2004) Digital Arithmetic Morgan Kaufmann

Articles

Note: The course matrix might contain more information in Swedish.

I = Introduce, U = Teach, A = Utilize
I U A Modules Comment
1. DISCIPLINARY KNOWLEDGE AND REASONING
1.1 Knowledge of underlying mathematics and science (G1X level)
X

                            
1.2 Fundamental engineering knowledge (G1X level)
X
X
LAB1
UPG1

                            
1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)
X
X
LAB1
UPG1

                            
1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level)

                            
1.5 Insight into current research and development work

                            
2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES
2.1 Analytical reasoning and problem solving
X
X
LAB1

                            
2.2 Experimentation, investigation, and knowledge discovery

                            
2.3 System thinking
X
X
LAB1
UPG1

                            
2.4 Attitudes, thought, and learning
X
X
UPG1

                            
2.5 Ethics, equity, and other responsibilities
X

                            
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
3.1 Teamwork
X

                            
3.2 Communications
X

                            
3.3 Communication in foreign languages
X

                            
4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT
4.1 External, societal, and environmental context

                            
4.2 Enterprise and business context

                            
4.3 Conceiving, system engineering and management
X

                            
4.4 Designing
X
X
LAB1
UPG1

                            
4.5 Implementing
X
X
LAB1
UPG1

                            
4.6 Operating

                            
5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS
5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development

                            
5.2 Economic conditions for knowledge development

                            
5.3 Identification of needs, structuring and planning of research or development projects

                            
5.4 Execution of research or development projects

                            
5.5 Presentation and evaluation of research or development projects

                            

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