SCIENCE
03_LCD_Slide_Handout_1(16)

# 03_LCD_Slide_Handout_1(16) - Boolean Algebra Defined...

• 9

This preview shows pages 1–5. Sign up to view the full content.

*Property of STI K0028 BOOLEAN ALGEBRA Simplification of Boolean Expression Through Postulates and Theorems Boolean Algebra Defined Sum of Products and Product of Sums Form 1 _________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ *Property of STI K0028 Boolean Algebra Defined What is Boolean algebra? It was named after George Boole (1815 – 1864) and was adapted in 1938 by Claude Shannon 2 __________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ *Property of STI K0028 Boolean Algebra Defined What is Boolean algebra? It is a form of algebra that consists of: set of elements: E = {true, false} or E = {on, off}, {1, 0}, {high, low} set of operators: O = {NOT {'}, AND { }, OR {+}} 3 _________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ *Property of STI K0028 Boolean Algebra Defined Truth table for the Boolean NOT operator A A’ 0 1 1 0 4 __________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________

This preview has intentionally blurred sections. Sign up to view the full version.

*Property of STI K0028 Boolean Algebra Defined Truth table for the Boolean AND operator A B A B 0 0 0 0 1 0 1 0 0 1 1 1 5 _________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ *Property of STI K0028 Boolean Algebra Defined Truth table for the Boolean OR operator A B A + B 0 0 0 0 1 1 1 0 1 1 1 1 6 __________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ *Property of STI K0028 Boolean Algebra Defined The 16 Possible Boolean Functions of Two Variables 7 _________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ *Property of STI K0028 Boolean Algebra Defined The 16 Possible Boolean Functions of Two Variables 8 __________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________
*Property of STI K0028 Simplification of Boolean Expression Through Postulates and Theorems Precedence of Operators Precedence level Operator 1 Brackets/Parenthesis ( ) 2 Boolean complement NOT 3 Boolean product AND 4 Boolean sum OR 9 _________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ *Property of STI K0028 Simplification of Boolean Expression Through Postulates and Theorems Practice Exercises Evaluate the following expression: F = D (BC’A + (AB’ + C)’ + C); when A = 0, B = 0, C = 1, D = 1 10 _________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ *Property of STI K0028 Simplification of Boolean Expression Through Postulates and Theorems Practice Exercises Evaluate the following expression: F = A’BC (A+D)’; when A = 0, B = 1, C = 1, D = 1 F = [D + ((A + B)C)’]E; when A = 0, B = 0, C = 1, D = 1, E = 1 11 ________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ *Property of STI K0028 Simplification of Boolean Expression Through Postulates and Theorems Postulates (or axioms) These are given facts that are accepted as true without a proof 12 _________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________

This preview has intentionally blurred sections. Sign up to view the full version.

*Property of STI K0028 Simplification of Boolean Expression Through Postulates and Theorems Postulates (or axioms) It is also known as the Huntington’s Postulate , which refers to a set of rules defined on how a set of numbers can
This is the end of the preview. Sign up to access the rest of the document.
• Winter '15
• Imafidon
• Logic, Boolean Algebra, Boolean expression

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern