Understanding Digital Techniques: Logic Gates and Combinational Logic

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Dive into the world of digital techniques with a focus on logic gates and combinational logic. Explore the functions of various logic gates, learn how to implement functions from Boolean expressions, and generate Boolean expressions from logic diagrams in this informative lecture.

  • Digital Techniques
  • Logic Gates
  • Combinational Logic
  • Boolean Expressions
  • Electrical Engineering

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  1. College of Engineering, Electrical Engineering Department Class : Second Year Subject : Digital Techniques LogicGates By: Asst Lec. Besma Nazar Nadhem Master of Science in Electrical Engineering (Electronic and Communication) 1

  2. Logic Gates The building blocks used to create digital circuits are logic gates Each gate has its own logic symbol which allows complex functions to be represented by a logic diagram The function of each gate can be represented by a truth table or using Boolean notation

  3. The NOT gate (or inverter)

  4. The AND gate

  5. The NAND gate

  6. The OR gate

  7. The NOR gate

  8. The Exclusive OR gate

  9. The Exclusive NOR gate

  10. Combinational Logic combinational logic where the outputs are determined solely by the current states of the inputs sequential logic where the outputs are determined not only by the current inputs but also by the sequence of inputs that led to the current state In this lecture we will look at combination logic

  11. Example(1) : Implementing a function from a Boolean expression = + X A B C

  12. Example(2) :Implementing a function from a Boolean expression = + Y A B C D

  13. Example (3):Generating a Boolean expression from a logic diagram

  14. HW. (1):Generating a Boolean expression from a logic diagram HW.(2) :Implementing a function from a Boolean expression = + X A B AB ( ) ( )

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