Engr Ahmad Bilal

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

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

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

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

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

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

9. Minterms and Maxterm

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

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

12. 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. Implementing CCT SOPs • Canonical Sum

14. 0 2 3 5 7 000 010 011 101 111 A’.B’.C’+A’BC’+A’BC+AB’C+ABC

15. SOP-Equation and Truth Table Expression

16. 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. Canonical Product 001 100 110

18. Conversions =

19. 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. POS-Truth Table Conversion

21. SHOCK QUIZ

22. 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