Logic, Circuits, and Boolean Algebra Summary

Logic, Circuits, and Boolean Algebra

Module designer(s)

Tim Hendrix

E-mail address(es)

Tim Hendrix

URL

https://mste.illinois.edu/boolean/index/htm

Cooperating teachers

Mike Rubinski

Darlene Guerain

Objectives

Develop principles of logic and boolean algebra needed in understanding simple circuits

Ease in translating from boolean expressions to truth tables to logic circuits (and vice-versa)

The ability to construct and simplify the related boolean expression and translate it into circuitry

Materials

Internet browser

Related Courses

Computer Science

Electronics

Links to standards

NCTM Standards:

Standard 1: Problem Solving
Standard 3: Reasoning
Standard 5: Algebra
Standard 8: Geometry from an algebraic perspective

Illinois Learning Standards:

Mathematics: 7C, 8D, 9C, 10B

Highlights

Through online tutorials, students address the fundamentals of logic connectives (OR, AND, NOT) and how to build truth tables for expressions using these connectives. The tutorial then addresses the relationship between logic and algebra by translating the truth tables into variable quantities, leading to Boolean Algebra. The main goal for the unit however, is to build circuits from problems.

Logic, Circuits, and Boolean Algebra
Module designer(s)	Tim Hendrix
E-mail address(es)	Tim Hendrix
URL	https://mste.illinois.edu/boolean/index/htm
Cooperating teachers	Mike Rubinski Darlene Guerain
Objectives	Develop principles of logic and boolean algebra needed in understanding simple circuits Ease in translating from boolean expressions to truth tables to logic circuits (and vice-versa) The ability to construct and simplify the related boolean expression and translate it into circuitry
Materials	Internet browser
Related Courses	Computer Science Electronics
Links to standards	NCTM Standards: Standard 1: Problem Solving Standard 3: Reasoning Standard 5: Algebra Standard 8: Geometry from an algebraic perspective Illinois Learning Standards: Mathematics: 7C, 8D, 9C, 10B
Highlights	Through online tutorials, students address the fundamentals of logic connectives (OR, AND, NOT) and how to build truth tables for expressions using these connectives. The tutorial then addresses the relationship between logic and algebra by translating the truth tables into variable quantities, leading to Boolean Algebra. The main goal for the unit however, is to build circuits from problems.