1. Department of Computer Engineering

2. 2 Engr Ahmad Bilal M IN AND MAX Term Khabi Gharoor Nahi Kiya

3. Department of Computer Engineering

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

5. Department of Computer Engineering

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

7. Department of Computer Engineering PROBLEM Issues With Boolean Algebra Become Tough Need Expertise

8. Department of Computer Engineering GETTING READY FOR K MAP Glossary Minterms: Product terms in Standard SOP form Maxterms: Sum terms in Standard POS form

9. Department of Computer Engineering ABCMin- terms Max- terms 000 001 010 011 100 101 110 111 Minterms and Maxterm

10. Department of Computer Engineering SO What The Use. How it helps to design us a particular Circuit

11. Department of Computer Engineering Designing Lets say we want to design a Circuit who gives out put 1, on our desired inputs only using SOPs

12. Department of Computer Engineering 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

13. Department of Computer Engineering Implementing CCT SOPs Canonical Sum

14. Department of Computer Engineering 0 2 3 5 7 000 010 011 101 111 A’.B’.C’+A’BC’+A’BC+AB’C+ABC NOW LOOKING AT THE ABOVE EQUATION DRAW A TRUTH TABLE

15. Department of Computer Engineering SOP-Equation and Truth Table Expression InputOutput ABCF 0000 0010 0100 0111 1001 1011 1100 1111

16. Department of Computer Engineering 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

17. Department of Computer Engineering Canonical Product 001 100 110

18. Department of Computer Engineering Conversions =

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

20. Department of Computer Engineering POS-Truth Table Conversion InputOutput ABCF 0001 0010 0100 0110 1001 1010 1101 1111

21. Department of Computer Engineering SHOCK QUIZ

22. Department of Computer Engineering 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 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 0