### 2022　Theory and Design of Logic Circuits

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Undergraduate major in Information and Communications Engineering
Instructor(s)
Kumazawa Itsuo  Hara Yuko
Class Format
Lecture    (Face-to-face)
Media-enhanced courses
Day/Period(Room No.)
Tue7-8(W323)  Fri7-8(W323)
Group
-
Course number
ICT.I211
Credits
2
2022
Offered quarter
3Q
Syllabus updated
2022/4/20
Lecture notes updated
-
Language used
Japanese
Access Index ### Course description and aims

As fundamentals for design of computer architectures, basics of computer hardware such as functions and characteristics of MOS transistor and constitution of logic gates are given. Mathematics and theories to understand logic circuits such as Boolean algebra, characteristics of logic functions, sequential circuit are studied. With these background knowledge, design techniques for logic and sequential circuits, simplification, unification and decomposition of the circuits are studied.

### Student learning outcomes

Binary operation of MOS transistor is studied. It is applied to constitute logic gates and their characteristics are studied. Designing techniques for logic and sequential circuits are studied with simplification, unification and decomposition methods.

### Keywords

MOS transistor, Logic gate, Logic circuit, Boolean algebra, Sequential Circuit and Simplification of logic circuits

### Competencies that will be developed

 ✔ Specialist skills Intercultural skills Communication skills Critical thinking skills ✔ Practical and/or problem-solving skills

### Class flow

Lecture and reports to check the understanding. Lecture is given through active-learning and interactive discussions between lecturers and students. Evaluation is done by the reports, interaction and participation in the lecture, and the final exam.

### Course schedule/Required learning

Course schedule Required learning
Class 1 LSI and MOS transistor Study behaviors of transistor as a basic element of LSIs
Class 2 Structure and behavior of logic gates of CMOS transistors and Flip-Flops Study features of CMOS logic circuits and Flip-Flops
Class 3 Boolean algebra and logic functions Study Boolean algebra and Logic functions as mathematical basis of logic circuits
Class 4 Minterm expression, Maxterm expression and Reed Muller expression Study typical representations of logic functions
Class 5 Simplification of logic circuits: Karnaugh's map Study Karnaugh's map as a simplification technique for logic circuits
Class 6 Simplification of logic circuits: Quine-Mclusky's method Study Quine-Mclusky's method as a simplification technique for logic circuits
Class 7 Summary of the first half of the course Summarize the first half of the course
Class 8 Introduction of sequential circuit(constitution of sequential circuit) Principals, features and applications of sequential circuits
Class 9 Representation of sequential circuit by state transfer function and state transition graph Study how sequential circuits are represented by equations and graphs and how the states are represented by binary vectors
Class 10 Flip-Flops and their driving circuits Study the ways of designing the circuits containing Flip-Flops for applications
Class 11 Simplification of the driving circuits for Flip-Flops Study the ways of simplifying the circuits containing Flip-Flops for applications
Class 12 Counter and Pseudo random number generator by sequential circuit Study applications of sequential circuits such as Counter nad Pseudo-random-number-generator
Class 13 Simplification of sequential circuit by unification of equivalent states Study the methods to find the equivalent states and to simplify the sequential circuits by unifying the equivalent states
Class 14 Summary of the second half of the course Summarize the second half of the course

### Out-of-Class Study Time (Preparation and Review)

To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.

### Textbook(s)

Digital Circuit, Tsuyoshi Isshiki, Itsuo Kumazawa, 2011, 2100yen

### Reference books, course materials, etc.

Textbook) Switching Circuit Theory, 1986, 2100yen
Reference) Logic Circuit, Naofumi Takagi, 2415yen

### Assessment criteria and methods

Evaluation is done by the reports, interaction and participation in the lecture, and the final exam

### Related courses

• GRE.C101 ： Foundations of Computer Science I
• GRE.C102 ： Foundations of Computer Science II
• ZUS.L201 ： Basic Integrated Circuits
• ICT.I216 ： Computer Logic Design (ICT)
• ZUS.L301 ： Experiments on Computer Science III

### Prerequisites (i.e., required knowledge, skills, courses, etc.)

No prerequisites 