Skip to Content
FSM-based Digital Design using Verilog HDL
book

FSM-based Digital Design using Verilog HDL

by Peter Minns, Ian Elliott
May 2008
Intermediate to advanced
408 pages
11h 8m
English
Wiley
Content preview from FSM-based Digital Design using Verilog HDL

Appendix A: Logic Gates and Boolean Algebra Used in the Book

This appendix provides a brief set of notes on Boolean algebra laws and their use. It is assumed that the reader already has knowledge of these laws. The appendix is provided as a reference only for the Boolean algebra used in this book.

A.1 BASIC GATE SYMBOLS USED IN THE BOOK WITH BOOLEAN EQUATIONS

images

Figure A.1 Basic logic gates.

A.2 THE EXCLUSIVE OR AND EXCLUSIVE NOR

The exclusive OR and exclusive NOR (Figure A.2) are well used in logic systems.

images

Figure A.2 Exclusive OR and exclusive NOR symbols.

A.3 LAWS OF BOOLEAN ALGEBRA

These are presented in terms of the Boolean logic equation and gate circuit.

A.3.1 Basic OR Rules

images

Figure A.3 Boolean algebra basic OR rules.

A.3.2 Basic AND Rules

images

Figure A.4 Boolean algebra basic AND rules.

A.3.3 Associative and Commutative Laws

images

Figure A.5 Associative and commutative laws.

A.3.4 Distributive Laws

Figure A.6 Distributive laws.

A.3.5 Auxiliary Law for Static 1 Hazard Removal

The auxiliary ...

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.

Read now

Unlock full access

More than 5,000 organizations count on O’Reilly

AirBnbBlueOriginElectronic ArtsHomeDepotNasdaqRakutenTata Consultancy Services

QuotationMarkO’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.
Julian F.
Head of Cybersecurity
QuotationMarkI wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.
Addison B.
Field Engineer
QuotationMarkI’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.
Amir M.
Data Platform Tech Lead
QuotationMarkI'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.
Mark W.
Embedded Software Engineer

You might also like

Synthesis of Arithmetic Circuits: FPGA, ASIC and Embedded Systems

Synthesis of Arithmetic Circuits: FPGA, ASIC and Embedded Systems

Jean-Pierre Deschamps, Gery J.A. Bioul, Gustavo D. Sutter
Digital System Clocking: High-Performance and Low-Power Aspects

Digital System Clocking: High-Performance and Low-Power Aspects

Vojin G. Oklobdzija, Vladimir M. Stojanovic, Dejan M. Markovic, Nikola M. Nedovic

Publisher Resources

ISBN: 9780470060704Purchase book