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Introduction to Digital Systems

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Course Unit Code440-2104/01
Number of ECTS Credits Allocated5 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *First Cycle
Year of Study *First Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites There are no prerequisites or co-requisites for this course unit
Name of Lecturer(s)Personal IDName
PET63Ing. Iva Petříková, Ph.D.
CHM15Ing. Zdeňka Chmelíková, Ph.D.
FAJ072Ing. Marcel Fajkus, Ph.D.
Summary
Introduction to the hardware realization of digital systems - logic, Boolean algebra and functions, gates, latches and flip flops, combinational and sequential circuits, finite state machine, properties basic circuits as multiplexers, decoders, registers, counters, adders.
Introduction to representation of information in the digital systems - numeral number systems with any radix, importance of binary and decimal numeral systems, binary and hexadecimal arithmetic operations, representation of glyphs and characters, ASCII code, UNICODE, representation of integer and real numbers.
Learning Outcomes of the Course Unit
The goal of the subject is to present to students the digital systems and their realization with gates and finite state machines, representation of numbers and glyphs, basic algorithms for arithmetic operations in digital systems.
Course Contents
Lectures:
• Logic, Boolean algebra, Boolean functions and their representation, numeral systems – positional system, conversion of integer numbers.
• Definition of basic forms for two level logic network, canonical forms, minimization based on Boolean algebra and Karnaugh maps, introducing computer algorithm for minimization (McCluskey, Expesso, ...)
• Gates and corresponding operations, logical signals and their active levels, design logical network, realization based on combination AND-OR, OR-AND, NAND-NAND, NOR-NOR.

• Positional numeral systems and conversation between them, integer and real numbers, connection between binary, octal and hexa numeral system.
• Representation integer numbers – sign-and-magnitude method, ones‘ and two’s complement, offset binary, arithmetic operations – addition, subtraction, multiplication and division, flags negate (N), zero (Z), overflow (V) and carry (C).
• Realization of binary arithmetic addition and subtraction, ripple-carry adder, carry-lookahead adder, multiplication, division and their basic hardware realization.
• Representation real numbers, fixed point numbers, Qm.n format, floating point numbers according to IEEE 754-2008, arithmetic operations, program implementation of multiplication and division, flags of operations.
• Representation glyphs, characters, ASCII code, Unicode, UTF algorithms.
• Representation real and integer numbers in BCD code, arithmetic operation – addition.

• Asynchronous RS latch, synchronous D, T, JK flip-flops.
• FSM – finite state machine, automata with finite state, definition of behaviour, possibility of description – graphic and software.
• Digital synchronous system – control and data unit, realization of control unit – D flip-flops, microprogramming control unit, example.
• Technology of digital circuits – bipolar TTL, unipolar CMOS, electric properties of gates, log values 0/1 and levels L/H, open collector, three state logic and buses.

Practical lesson
• Introduction, conversion form decimal to binary and hexa numeral systems, Boolean algebra, entering the first project.
Recommended or Required Reading
Required Reading:
Wakerly J. F.: Digital Design, Principles and Practices; Prentice Hall 2006; ISBN 0-13-186389-4
Katz R. H. and Borriello G.: Contemporary logic design; Prentice Hall 2005; ISBN 0-201-30857-6
Roth Ch. H. Jr.: Fundamentals of logic design; Thomson Brooks/Cole 2004; ISBN 0-534-37804-8
Chmelíková,Z., Zdrálek,J.: Číslicové systémy I.; VŠB - TU Ostrava, 2014; ISBN 978-80-248-3649-2
Frištacký N.: Logické systémy, ALFA Bratislava,1986
Petříková,I.: Logické obvody - příklady, VŠB-TUO, 2001
Recommended Reading:
Wakerly J. F.: Digital Design, Principles and Practices; Prentice Hall 2006; ISBN 0-13-186389-4
Katz R. H. and Borriello G.: Contemporary logic design; Prentice Hall 2005; ISBN 0-201-30857-6
Roth Ch. H. Jr.: Fundamentals of logic design; Thomson Brooks/Cole 2004; ISBN 0-534-37804-8
Svoboda A. and White D. E.: Advanced logical circuit design techniques; Garland StPM Press 1979; ISBN 0-8240-7014-3
Bhasker J.: VHDL Primer, Third Edition; Prentice Hall 1999; ISBN 0-13-096575-8
Wakerly J. F.: Digital Design, Principles and Practices; Prentice Hall 2006; ISBN 0-13-186389-4
Katz R. H. and Borriello G.: Contemporary logic design; Prentice Hall 2005; ISBN 0-201-30857-6
Roth Ch. H. Jr.: Fundamentals of logic design; Thomson Brooks/Cole 2004; ISBN 0-534-37804-8
Svoboda A. and White D. E.: Advanced logical circuit design techniques; Garland StPM Press 1979; ISBN 0-8240-7014-3
Bhasker J.: VHDL Primer, Third Edition; Prentice Hall 1999; ISBN 0-13-096575-8
Planned learning activities and teaching methods
Lectures, Tutorials, Experimental work in labs, Project work
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Credit and ExaminationCredit and Examination100 (100)51
        CreditCredit44 15
        ExaminationExamination56 20