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Introduction to Digital Electronics (18EC32) by Mohankumar V., Summaries of Digital Electronics

Technical Career InstitutesDigital Electronics

An introduction to the Digital Electronics (18EC32) course offered by Mohankumar V. at Dr. Ambedkar Institute of Technology, Bengaluru. the basics of digital electronics, including the difference between analog and digital electronics, the advantages of digital electronics, and an introduction to Boolean algebra. The document also includes rules and properties of Boolean algebra.

Typology: Summaries

2020/2021

Uploaded on 11/22/2021

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DIGITAL ELECTRONICS (18EC32)
2021-22
Introduction Part-1
Mohankumar V.
Assistant Professor
Department of Electronics and Communication Engineering
Dr. Ambedkar Institute of Technology, Bengaluru-56
E-mail ID: vmohankumar.ec@drait.edu.in
Contact No.: +91-8884660123
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DIGITAL ELECTRONICS (18EC32)

Introduction Part- 1

Mohankumar V.

Assistant Professor Department of Electronics and Communication Engineering Dr. Ambedkar Institute of Technology, Bengaluru- 56 E-mail ID: vmohankumar.ec@drait.edu.in Contact No. : +91- 8884660123 1

Chemistry Abstraction levels of electronics systems Chemical elements (Conductors, Semiconductors and Insulators) Physics Electrons Devices Diodes, Transistors Analog Electronics Circuits Digital Electronics Circuits Amplifiers, Oscillators, Switches Combinational and sequential circuits Programming CPLDs, FPGAs Programmable Devices VHDL, Verilog

Electronics Analog Electronics Digital Electronics

  • Processes the data in the format of continuous signal - Processes the data in the format of binary bits Analog Electronic circuits / Electronic Circuits Digital Electronic Circuits /Logic Circuits
  • Interconnection/ combination of electronic and electrical elements to achieve certain objective - Interconnection/ combination of logic gates Electrical elements : R, L and C Electronic elements/devices: Diodes and Transistors Logic gates: AND, OR and NOT Continuous Signal Discrete Signal Digital Signal

Advantages of Digital Electronics

1. Works with extremely very low voltage and current levels.

2. Very low noise and distortion

3. No power loss

4. No electrical safety hazard

5. Reduces the size of the systems.

6. Processing speed increases.

7. Performs complex operations

Boolean Algebra

  • Boolean algebra is a branch of Algebra (Mathematics) that deals with operations on logical values with Boolean variables.
  • Boolean variables are represented as binary numbers which takes logic 1 and logic 0 values. Hence, the Boolean algebra is also called two-valued logic, Binary Algebra or Logical Algebra.
  • The Boolean algebra was introduced by great mathematician George Boole in 1847.
  • The Boolean algebra is a fundamental for the development of digital electronic systems, and is provided for in all programming languages.
  • Set theory and statistics fields also uses Boolean algebra for the representation, simplification and analysis of mathematical quantities.
  • Boolean algebra differs from normal or elementary algebra. Latter deals with numerical operations such as, addition, subtraction, multiplication and division on decimal numbers. And former deals with the logical operations such as conjunction (OR), disjunction(AND) and negation(NOT).

Rules and properties of Boolean Algebra

  1. Boolean variables takes only two values, logic 1 and logic 0 , called binary numbers.
  2. Basic operations of Boolean algebra are complement of a variable, ORing and ANDing of two or more variables.
  3. Mathematical description of Boolean operations using variables is called Boolean expression.
  4. Complement of variable is represented by an over-bar (-). Example : 𝑌 = 𝐴ҧ, Y is the output variable
  5. ORing of variables is represented by a plus symbol (+) Example :𝑌 = 𝐴 + 𝐵, Y is the output variable
  6. ANDing of variables is represented by a dot symbol (.) Example :𝑌 = 𝐴. 𝐵, Y is the output variable
  7. Boolean operations are different from binary operations. Example : 1 + 1 = 10 in Binary Addition 1 + 1 = 1 in Boolean algebra.

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