MATHEMATICS
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Course Introduction and Application Information

Course Code	Course Name	Semester	Theoretical	Practical	Credit	ECTS
CMP1004	Introduction to Digital Logic	Fall	3	0	3	6

This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester.

Basic information

Language of instruction:	English
Type of course:	Departmental Elective
Course Level:	Bachelor’s Degree (First Cycle)
Mode of Delivery:	Face to face
Course Coordinator :	Dr. Öğr. Üyesi ÖVGÜ ÖZTÜRK ERGÜN
Course Lecturer(s):	Dr. Öğr. Üyesi ÖVGÜ ÖZTÜRK ERGÜN
Recommended Optional Program Components:	None
Course Objectives:	This course features a strong emphasis on the fundamentals underlying contemporary logic. The topics include digital systems and information, combinational logic circuits, combinational logic design, arithmetic functions and circuits, sequential circuits, etc.

Learning Outcomes

The students who have succeeded in this course;
I. To investigate and analyze fundamental components and approaches to design and implement a digital system.
II. To do calculations in boolean algebra and analyze mathematical expressions of logic design
III. To gain knowledge about design and analyze of combinational circuits and sequential circuits, be able to compare these two circuit structures
IV. To design and simulate complex digital circuits, hence gain experience in digital circuit design
V. To be able to evaluate problems and needs in electronic and automation world and use his/her knowledge to think about the solutions that digital systems can provide for those problems
VI. To be able to correlate mathematical expressions with digital logic components, hence develop connection of these components with the parameters of real-world problems.
VII. To obtain knowledge about fundamentals of memory implementation, RAMs and ROMs

Course Content

Weekly Detailed Course Contents

Week	Subject	Related Preparation
1)	Introduction to Binary Systems Binary Operations	Chapter 2 from Course Book ( Digital Design )
2)	Basic Logic Gates Boolean Functions and Algebra	Chapter 2 from Course Book
3)	Function Representations, Boolean Expression, Truth Table Representation, Logic Diagrams and Conversions between various representations 2 variable, 3 variable, 4 variable Functions	Chapter 2 and 3 from Course Book
4)	Minterm and Maxterm Representations Product of Sums Representations and Logic Diagrams Sum of Products Representations and Logic Diagrams	Chapter 3 from Course Book
5)	K-MAP and Conversions between Various Representations, NAND-NAND Conversion Problems, NOR-NOR Conversion Problems, XOR Gate Implementation	Chapter 3 from Course Book
6)	K-Map Representation and Gate Level Minimization, OR-AND Implementation, AND-OR Implementation, NAND-NAND Logic Diagram Conversion, NOR-NOR Logic Diagram Conversion	Chapter 3 from Course Book
7)	Half-adder, Full-adder Logic Functions, Logic Diagram Implementations	Chapter 4 from Course Book
8)	4-bit binary adder, 4-bit binary subtractor, 4-bit binary adder/subtractor, More than 4 bit binary adders/subtractors, 1024-bit binary adder design	Chapter 4 From Course Book
9)	Binary Multiplier Functions, Design and Implementations	Chapter from Course Book
10)	Magnitude Comparator Functions and Logic Gate Implementations	Chapter 4 from Course Book
11)	Decoders, Encoders, Multiplexers	Chapter 4 from Course Book
12)	Introduction to Sequential Circuits, Latches	Chapter 5 from Course Book
13)	Flip Flop Circuits, JK Flip Flop, T Flip Flop, D Flip Flop	Chapter 5 from Course Book
14)	Analysis of Sequential Circuits, Clocks	Chapter 5 from Course Book

Sources

Course Notes / Textbooks:	Digital Design by M.Morris Mano and Michael D.Ciletti, Fifth Edition, PEARSON
References:

Evaluation System

Semester Requirements	Number of Activities	Level of Contribution
Quizzes	3	% 15
Midterms	1	% 35
Final	1	% 50
Total		% 100
PERCENTAGE OF SEMESTER WORK		% 50
PERCENTAGE OF FINAL WORK		% 50
Total		% 100

ECTS / Workload Table

Activities	Number of Activities	Workload
Course Hours	14	42
Study Hours Out of Class	14	42
Quizzes	3	18
Midterms	1	18
Final	1	36
Total Workload		156

Contribution of Learning Outcomes to Programme Outcomes

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

	Program Outcomes	Level of Contribution
1)	To have a grasp of basic mathematics, applied mathematics and theories and applications in Mathematics	3
2)	To be able to understand and assess mathematical proofs and construct appropriate proofs of their own and also define and analyze problems and to find solutions based on scientific methods,	1
3)	To be able to apply mathematics in real life with interdisciplinary approach and to discover their potentials,
4)	To be able to acquire necessary information and to make modeling in any field that mathematics is used and to improve herself/himself,
5)	To be able to tell theoretical and technical information easily to both experts in detail and non-experts in basic and comprehensible way,
6)	To be familiar with computer programs used in the fields of mathematics and to be able to use at least one of them effectively at the European Computer Driving Licence Advanced Level,
7)	To be able to behave in accordance with social, scientific and ethical values in each step of the projects involved and to be able to introduce and apply projects in terms of civic engagement,
8)	To be able to evaluate all processes effectively and to have enough awareness about quality management by being conscious and having intellectual background in the universal sense,
9)	By having a way of abstract thinking, to be able to connect concrete events and to transfer solutions, to be able to design experiments, collect data, and analyze results by scientific methods and to interfere,
10)	To be able to continue lifelong learning by renewing the knowledge, the abilities and the competencies which have been developed during the program, and being conscious about lifelong learning,
11)	To be able to adapt and transfer the knowledge gained in the areas of mathematics ; such as algebra, analysis, number theory, mathematical logic, geometry and topology to the level of secondary school,
12)	To be able to conduct a research either as an individual or as a team member, and to be effective in each related step of the project, to take role in the decision process, to plan and manage the project by using time effectively.