Home   |  Schematics |  Products |  Tutorials  |  Datasheets  |  Robotics   |   Download    |   Link Exchange


Direct Current
Alternating Current
Digital Electronics
PC Architecture
Electronics Dictionary
Resources

Experiment
Calculator/Converters
Radio
Newsletter
Associations and Societies
Component Manufacturers

Chapter Left Bar

 

Chapter Add Bar

 

The Exclusive-OR function

One element conspicuously missing from the set of Boolean operations is that of Exclusive-OR. Whereas the OR function is equivalent to Boolean addition, the AND function to Boolean multiplication, and the NOT function (inverter) to Boolean complementation, there is no direct Boolean equivalent for Exclusive-OR. This hasn't stopped people from developing a symbol to represent it, though:

This symbol is seldom used in Boolean expressions because the identities, laws, and rules of simplification involving addition, multiplication, and complementation do not apply to it. However, there is a way to represent the Exclusive-OR function in terms of OR and AND, as has been shown in previous chapters: AB' + A'B

As a Boolean equivalency, this rule may be helpful in simplifying some Boolean expressions. Any expression following the AB' + A'B form (two AND gates and an OR gate) may be replaced by a single Exclusive-OR gate.

 




Home  Products  Tutorials   Schematics   Robotics   Resources   Radio Stuff    Career    Download   Link Exchange

HTML Sitemap   XML Sitemap


Terms & Conditions  Privacy Policy and Disclaimer