Student rights and obligations (login required)
Linköping University common rules and regulations (in Swedish)
Digital Arithmetics, 6 credits
Digital aritmetik, 6 hp
TSTE18
Main field of study
Electrical EngineeringCourse level
Second cycleCourse type
Programme courseExaminer
Oscar GustafssonDirector of studies or equivalent
Tomas SvenssonEducation components
Preliminary scheduled hours: 58 hRecommended self-study hours: 102 h
ECV = Elective / Compulsory / Voluntary
Main field of study
Electrical EngineeringCourse level
Second cycleAdvancement level
A1XCourse 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 VerilogIntended 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
| UPG1 | Assignment | 2 credits | U, G |
| LAB1 | Laboratory work | 4 credits | U, G |
Grades are given as ’Fail’ or ’Pass’.
Grades
Two-grade scale, U, GDepartment
Institutionen för systemteknikDirector of Studies or equivalent
Tomas SvenssonExaminer
Oscar GustafssonCourse website and other links
http://www.isy.liu.se/en/edu/kurs/TSTE18/Education components
Preliminary scheduled hours: 58 hRecommended 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 |
|
|
|
|||
This tab contains public material from the course room in Lisam. The information published here is not legally binding, such material can be found under the other tabs on this page.
There are no files available for this course.