Department of Computer Engineering

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

Department of Computer Engineering

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

Department of Computer Engineering

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

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

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

Department of Computer Engineering ABCMin- terms Max- terms Minterms and Maxterm

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

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

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

Department of Computer Engineering Implementing CCT SOPs Canonical Sum

Department of Computer Engineering A’.B’.C’+A’BC’+A’BC+AB’C+ABC NOW LOOKING AT THE ABOVE EQUATION DRAW A TRUTH TABLE

Department of Computer Engineering SOP-Equation and Truth Table Expression InputOutput ABCF

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 What about POS

Department of Computer Engineering Canonical Product

Department of Computer Engineering Conversions =

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

Department of Computer Engineering POS-Truth Table Conversion InputOutput ABCF

Department of Computer Engineering SHOCK QUIZ

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