Course detail

Digital Systems Design

FIT-INCAcad. year: 2017/2018

Binary number system: positional notation, conversion of base, binary codes, binary arithmetic. Boolean algebra, logic functions and their representations: logic expressions, reduction methods, design of combinatorial logic networks. Analysis of logic networks behaviour: signal races, hazards. Selected logic modules: adder, subtractor, multiplexer, demultiplexer, decoder, coder, comparator, arithmetic and logic unit. Simple asynchronous networks: design and analysis of behaviour. Sequential logic networks, latches and flip-flops. State machines and their representations. Design of synchronized sequential networks: state coding, optimization and implementation. Register, counter, shift register, impulse divider. Design of simple digital equipment: design CAD tools, description tools, design strategy. Integrated circuits families. Programmable logic devices. 

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

doc. Dr. Ing. Otto Fučík

Department

Department of Computer Systems (UPSY)

Learning outcomes of the course unit

Fundamental knowledge of selected methods for description, analysis and design of combinatorial and sequential logic in digital systems. 

Prerequisites

The sets, relations and mappings. Basic terms and axioms of Boolean algebra. The elementary notions of the graph theory. Rudiments of electrical engineering phenomena and basic active and passive electronic elements.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

For receiving the credit and thus for entering the exam, students have to obtain at least five points from the project. Plagiarism and not allowed cooperation will cause that involved students are not classified and disciplinary action may be initiated.

Course curriculum

Syllabus of lectures:
  • Binary number system: positional notation, conversion of base, binary codes, binary arithmetic.
  • Boolean algebra, logic functions and their representations, logic expressions.
  • Reduction methods: Karnaugh maps, Qiune-McCluskey tabular method, Petrick's cover function.
  • Logic and functional diagrams. Analysis of logic networks behaviour: signal races, hazards.
  • Combinational logic: multiplexer, demultiplexer, decoder, coder.
  • Combinational logic: comparator, adder, subtractor, arithmetic and logic unit.
  • State machines and their representations. Latches and flip-flops.
  • Synchronized sequential networks: state coding, optimization and implementation.
  • Sequential logic: Registers, counters, shift registers, frequency dividers.
  • VHDL language, logic circuits synthesis.
  • Design of simple digital circuits: CAD tools, design methodology, FITkit.
  • Programmable logic devices.
  • Integrated circuits families.

Syllabus of numerical exercises:
  • Binary number system: positional notation, conversion of base, binary codes, binary arithmetic.
  • Boolean algebra, logic functions and their representations, a behaviour analysis of contact-switch networks.
  • Logic expressions. Qiune-McCluskey tabular reduction method, Petrick's cover function.
  • Reduction methods: Karnaugh maps, logic and functional diagrams.
  • Logic functions implementation using logic components.
  • Selected logic modules: multiplexer, demultiplexer, encoder, decoder, adder, ALU.
  • State machines and their representations. Design of synchronized sequential networks.
  • Design of logic networks using programmable logic devices.

Syllabus of computer exercises:
  • Introduction to a CAD software. Modelling of demo examples.
  • Modelling of personally designed logic networks.

Syllabus - others, projects and individual work of students:
  • Three-hour project.

Work placements

Not applicable.

Aims

The goal is to obtain fundamental knowledge of methods for description, analysis, and design of combinatorial and sequential logic networks in digital systems.

Specification of controlled education, way of implementation and compensation for absences

The knowledge of students is examined by the mid-exam (20 points), the project (25 pints) and by the final exam. The minimal number of points, which can be obtained from the final exam, is 25 (of 55 points). Otherwise, no points will be assigned to a student. Plagiarism and not allowed cooperation will cause that involved students are not classified and disciplinary action can be initiated.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Basic literature

Harris, D., Harris, S.: Digital Design and Computer Architecture 2nd Edition, Morgan Kaufmann, eBook ISBN: 9780123978165, paperback ISBN: 9780123944245, 2012. (EN)
Wakerly, J. F.: Digital Design: Principles and Practices (4th Edition, Book only) 4th Edition, PEARSON, ISBN: 9788131713662, 8131713660, Edition: 4th Edition, 2008. (EN)
Mano, M. M. R, Ciletti, D.: Digital Design (4th Edition), Prentice-Hall, ISBN:0131989243, 2006. (EN)

Recommended reading


Classification of course in study plans

  • Programme IT-BC-3 Bachelor's

    branch BIT , 1. year of study, summer semester, compulsory

Type of course unit

 

Lecture

39 hours, optionally

Teacher / Lecturer

doc. Dr. Ing. Otto Fučík

Syllabus

  • Binary number system: positional notation, conversion of base, binary codes, binary arithmetic.
  • Boolean algebra, logic functions and their representations, logic expressions.
  • Reduction methods: Karnaugh maps, Qiune-McCluskey tabular method, Petrick's cover function.
  • Logic and functional diagrams. Analysis of logic networks behaviour: signal races, hazards.
  • Combinational logic: multiplexer, demultiplexer, decoder, coder.
  • Combinational logic: comparator, adder, subtractor, arithmetic and logic unit.
  • State machines and their representations. Latches and flip-flops.
  • Synchronized sequential networks: state coding, optimization and implementation.
  • Sequential logic: Registers, counters, shift registers, frequency dividers.
  • VHDL language, logic circuits synthesis.
  • Design of simple digital circuits: CAD tools, design methodology, FITkit.
  • Programmable logic devices.
  • Integrated circuits families.

Fundamentals seminar

10 hours, optionally

Teacher / Lecturer

doc. Dr. Ing. Otto Fučík

Syllabus

  • Binary number system: positional notation, conversion of base, binary codes, binary arithmetic.
  • Boolean algebra, logic functions and their representations, a behaviour analysis of contact-switch networks.
  • Logic expressions. Qiune-McCluskey tabular reduction method, Petrick's cover function.
  • Reduction methods: Karnaugh maps, logic and functional diagrams.
  • Logic functions implementation using logic components.
  • Selected logic modules: multiplexer, demultiplexer, encoder, decoder, adder, ALU.
  • State machines and their representations. Design of synchronized sequential networks.
  • Design of logic networks using programmable logic devices.

Project

3 hours, optionally

Teacher / Lecturer

doc. Dr. Ing. Otto Fučík