Digital Circuits: All About Circuits - Numeration Systems, Binary Arithmetic, Logic Gates
"Explore the fundamentals of digital circuits in this comprehensive guide covering numeration systems, binary arithmetic, logic gates, switches, electromechanical relays, ladder logic, Boolean algebra, and more. Dive into the world of digital computing principles with detailed explanations and visual aids."
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Presentation Transcript
Engineering Capstone: All About Circuits DIGITAL CIRCUITS
Table of Contents 1. Numeration Systems 9. Combinational Logic Functions 2. Binary Arithmetic 10. Multivibrators 3. Logic Gates 11. Sequential Circuits 4. Switches 12. Shift Registers 5. Electromechanical Relays 13. Digital-Analog Conversion 6. Ladder Logic 14. Digital Communication 7. Boolean Algebra 15. Digital Storage (Memory) 8. Karnaugh Mapping 16. Principles Of Digital Computing
1. Numeration Systems Numbers and Symbols Systems of Numeration Decimal versus Binary Numeration Octal and Hexadecimal Numeration Octal and Hexadecimal to Decimal Conversion Conversion From Decimal Numeration
2. Binary Arithmetic Numbers versus Numeration Binary Addition Negative Binary Numbers Binary Subtraction Binary Overflow Bit Grouping
3. Logic Gates Digital Signals and Gates The NOT Gate The Buffer Gate Multiple-input Gates TTL NAND and AND gates TTL NOR and OR gates CMOS Gate Circuitry Special-output Gates Gate Universality Logic Signal Voltage Levels DIP Gate Packaging
4. Switches Switch Types Switch Contact Design Contact Normal State and Make/Break Sequence Contact Bounce
5. Electromechanical Relays Relay Construction Contactors Time-delay Relays Protective Relays Solid-state Relays
6. Ladder Logic Ladder Diagrams Digital Logic Functions Permissive and Interlock Circuits Motor Control Circuits Fail-safe Design Programmable Logic Controllers (PLC)
7. Boolean Algebra Introduction to Boolean Algebra Boolean Arithmetic Boolean Algebraic Identities Boolean Algebraic Properties Boolean Rules for Simplification Circuit Simplification Examples The Exclusive-OR Function: The XOR Gate DeMorgan s Theorems Converting Truth Tables into Boolean Expressions
8. Karnaugh Mapping Introduction to Karnaugh Mapping Venn Diagrams and Sets Boolean Relationships on Venn Diagrams Making a Venn Diagram Look Like a Karnaugh Map Karnaugh Maps, Truth Tables, and Boolean Expressions Logic Simplification With Karnaugh Maps Larger 4-variable Karnaugh Maps Minterm vs Maxterm Solution Sum and Product Notation Don t Care Cells in the Karnaugh Map Larger 5 & 6-variable Karnaugh Maps
9. Combinational Logic Functions Introduction to Combinational Logic Functions Half-Adder Full-Adder Decoder Encoder Demultiplexers Multiplexers Using Multiple Combinational Circuits
10. Multivibrators Digital Logic With Feedback The S-R Latch The Gated S-R Latch The D Latch Edge-triggered Latches: Flip-Flops The J-K Flip-Flop Asynchronous Flip-Flop Inputs Monostable Multivibrators
11. Sequential Circuits Binary Count Sequence Asynchronous Counters Synchronous Counters Counter Modulus Finite State Machines
12. Shift Registers Introduction to Shift Registers Shift Registers: Serial-in, Serial-out Shift Registers: Parallel-in, Serial-out (PISO) Conversion Shift Registers: Serial-in, Parallel-out (SIPO) Conversion Universal Shift Registers: Parallel-in, Parallel-out Ring Counters
13. Digital-Analog Conversion Introduction to Digital-Analog Conversion The R/2nR DAC: Binary-Weighted-Input Digital-to-Analog Converter The R/2R DAC (Digital-to-Analog Converter) Flash ADC Digital Ramp ADC Successive Approximation ADC Tracking ADC Slope (integrating) ADC Delta-Sigma ADC Practical Considerations of ADC Circuits
14. Digital Communication Introduction to Digital Communication Networks and Busses Data Flow Electrical Signal Types Optical Data Communication Network Topology Network Protocols Practical considerations - Digital Communication
15. Digital Storage (Memory) Why digital? Digital Memory Terms and Concepts Modern Nonmechanical Memory Historical, Nonmechanical Memory Technologies Read-Only Memory (ROM) Memory with moving parts: Drives
16. Principles Of Digital Computing A Binary Adder Look-up Tables Finite-state Machine Microprocessors Microprocessor Programming
Contributor List Vol IV. Credits
References https://www.allaboutcircuits.com/textbook/digital/chpt-1/numbers-and-symbols/ This free, multi-volume electrical engineering textbook covers electricity and electronics. Written by Tony R. Kuphaldt under the Design Science License, it has been reformatted and updated by All About Circuits. https://www.allaboutcircuits.com/about-us/