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Designing Digital Circuits: SOP and POS Implementation Quiz & Practice

In today's session, we will explore the importance of standard SOP (Sum of Products) and POS (Product of Sums) forms in digital circuit design. You will learn how to implement Boolean equations using AND and OR functions, as well as minimal circuit implementations by switching between standard SOP and POS forms. We will cover key concepts such as minterms and maxterms, how to design circuits that produce specific outputs based on defined inputs, and practical exercises including truth tables and circuit diagrams. Join us in solving the surprise quiz at the end!

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Designing Digital Circuits: SOP and POS Implementation Quiz & Practice

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Presentation Transcript

  1. M IN AND MAX Term Engr Ahmad Bilal KhabiGharoorNahiKiya 2

  2. Today's Goal Solve the surprise Quiz at the end of slides

  3. SOP and POS Q1 :Why Standard SOP and POS forms? Q2 How can Be Implemented?Can be implemented using AND and OR Functions

  4. Why to Use Them Minimal Circuit implementation by switching between Standard SOP or POS

  5. Example • AB+ABC • ABX+DFE’+GHJ • (A+B)(F+G) • (X+A+F+T)(A+A)

  6. PROBLEM • Issues With Boolean Algebra • Become Tough • Need Expertise

  7. GETTING READY FOR K MAP • Glossary • Minterms: Product terms in Standard SOP form • Maxterms: Sum terms in Standard POS form

  8. Minterms and Maxterm

  9. SO What The Use. How it helps to design us a particular Circuit

  10. Designing • Lets say we want to design a Circuit who gives out put 1, on our desired inputs only using SOPs

  11. Designing • Remember its SOP • Define Inputs for which You want output as 1 • For this example lets say the inputs are • 0,2,3,5,7

  12. Implementing CCT SOPs • Canonical Sum

  13. 0 2 3 5 7 000 010 011 101 111 A’.B’.C’+A’BC’+A’BC+AB’C+ABC

  14. SOP-Equation and Truth Table Expression

  15. POS can be Implemented in same way. • Lets say we want to design a circuits using POS which gives 0 on only selected inputs • For Our Practice Let the inputs be 1 4 6 What about POS

  16. Canonical Product 001 100 110

  17. Conversions =

  18. aaDDDDDDDDDDDDEW2` PRACTICE QUESTION Develop a Booliean equation, Circuit diagram and Its truth table which gives 0 only on following inputs 1,2,3,5

  19. POS-Truth Table Conversion

  20. SHOCK QUIZ

  21. Design a Lock • The Code of this lock is last 3 digits of your Roll Number • The Lock will only operate when its get output from the key pads in form of 101 • Proof with four samples of truth table, that your circuit works only for right code 1 0 1 Bonus Question The Three input from key pads are given to XOR gate. The lock will only open when xor gives out put of 1 to gate

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