CB1 That students have demonstrated knowledge and understanding in a field of study that parts of the basis of general secondary education, and is typically at a level which, although it is supported by advanced textbooks, includes some aspects that imply knowledge of the forefront of their field of study CB2 That students can apply their knowledge to their work or vocation in a professional manner and have competences typically demonstrated through devising and defending arguments and solving problems within their field of study CG3 Knowledge of basic materials and technologies, enabling him to learn new methods and technologies and that will equip versatility to adapt to new situations. CG13 Understanding and mastery of basic concepts of linear systems and related functions and transforms, theory of electrical circuits, electronic circuits, physical principles of semiconductors and logic families, electronic and photonic devices, materials technology and its application to solve own engineering problems. ECRT9 capacity analysis and design of combinational and sequential circuits, synchronous and asynchronous, and use of microprocessors and integrated circuits. ECRT10 Knowledge and application of the fundamentals of hardware description languages.

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