The objective of this course is to introduce students to the operation, analysis, and design of digital circuits. The fundamentals of hardware description languages and digital circuit design in VHDL will also be introduced. At the end of this course, the following skills will have been acquired: - Know the purpose and basic operation of digital circuits - Analyze and use digital circuits - Design digital circuits

1. Number systems and information representation 1.1. Number Systems 1.2. Number Systems Conversions 1.3. Binary Codes 2. Boolean Algebra and logic functions 2.1. Postulates and fundamental properties of Boolean Algebra 2.2. Boolean functions and expressions 2.3. Logic gates. Implementation of logic functions 2.4. Minimization of logic functions 3. Introduction to design and implementation of digital circuits 3.1. Technologies for implementing digital circuits 3.2. Hardware description languages 3.3. Design flow: simulation and automatic synthesis 3.4. Basic concepts of VHDL design 4. Combinational circuits and VHDL description 4.1. Basic combinational circuits 4.1.1. Encoders 4.1.2. Decoders 4.1.3. Multiplexers 4.1.4. Demultiplexers 4.1.5. Comparators 4.2. Association of basic combinational circuits 4.3. Logic function implementation using combinational circuits 5. Arithmetic combinational circuits and VHDL description 5.1. Representing signed numbers 5.2. Sign and magnitude, 1s-complement and 2s-complement 5.3. Binary Arithmetic 5.3.1. Addition and subtraction 5.3.2. Multiplication and division 5.4. Representing real numbers 5.5. Addition and Subtraction Circuits 5.6. Circuits for multiplication 5.7. Arithmetic Logic Units (ALUs) 6. Flip-Flops and VHDL description 6.1. Asynchronous flip-flops 6.2. Synchronous flip-flops 6.3. Flip-flop control logic 6.4. Timing characteristics 6.5. Synchronous circuits 6.6. Circuits with flip-flops: chronograms 7. Synchronous sequential circuits and VHDL description 7.1. Finite State Machines 7.1.1. Moore model 7.1.2. Mealy model 7.2. Synchronous Sequential Circuits Analysis 7.3. Synchronous Sequential Circuits Synthesis 8. Registers and Counters and VHDL description 8.1. Registers 8.2. Counters 8.2.1. Synchronous counters 8.2.2. Counter as a Finite State Machine 8.2.3. Counter applications 9. Memories and VHDL description 9.1. Memory types 9.2. Characteristics of memories 9.3. Internal organization of a memory 9.4. Extension of memory size 9.5. Memory access chronograms 9.6. Applications 10. Digital Systems 10.1. Structure of a digital system 10.1.1. Data path 10.1.2. Control Unit 10.2. Introduction to digital systems design 10.2.1. ASICs 10.2.2. Programmable logic devices 10.2.3. Microprocessors

- 40% Lectures: 2,4 ECTS. Intended to reach the specific competences of the course. Students will receive class notes and reference books in order to work and get in-depth knowledge on the course contents. - 40% Problem classes: 2,4 ECTS. Oriented to exercise resolution and Ongoing Evaluation. - 20% Lab practices: 1,2 ECTS. Design and development of digital circuits using simulation tools with the aid of the professor