×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

or

13

0

4

# Class Note for ECE 380 at UA-Digital Logic(11)

Marketplace > University of Alabama - Tuscaloosa > Class Note for ECE 380 at UA Digital Logic 11

No professor available

These notes were just uploaded, and will be ready to view shortly.

Either way, we'll remind you when they're ready :)

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

COURSE
PROF.
No professor available
TYPE
Class Notes
PAGES
4
WORDS
KARMA
25 ?

## Popular in Department

This 4 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Alabama - Tuscaloosa taught by a professor in Fall. Since its upload, it has received 13 views.

×

## Reviews for Class Note for ECE 380 at UA-Digital Logic(11)

×

×

### What is Karma?

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 02/06/15
ECE380 Digital Logic Introduction to Logic Circuits Variables functions truth tables gates and networks Logic circuits 0 Logic circuits perform operations on digital signals s Implemented as X Yi electron c circuits where X2 a Yz signal values are x3 ir3 restricted to a few h discrete values 5 quot tc 39quot9 Network 0 In binary logic circuits there are only two values 0 and 1 Xm Yn o The general form ofa logic circuit is a switching network discrete values Elearlca r conouar anoinoonno Dr o J Jackson La urezl easinca AcumvmaEnglneerlng Dr o J Jaclson La urezz Boolean algebra 0 Direct application to switching networks Work with Zstate devices 9 Zvalued Boolean algebra switching algebra Use a Boolean variable X Y etc to represent an input or output of a switching network Variable may take on only two values 0 1 X0 X1 These symbols are not binary numbers they simply represent the 2 states of a Boolean variable They are notvoltage levels although they commonly refer to the low or high voltage inputoutput of some circuit element Variables and functions Elearlca r conouar anoinoonno Dr o J Jackson LedureZCl o The simplest binary element is a switch that has two states 0 If the switch is controlled by X we say the switch is open if X 0 and closed if X 1 X n xi a Two states or a swtcn X p Symbol tor a swtcn easinca AcumvmaEnglneerlng Dr o J Jaclson LedureZA Variables and functions 0 Assume the switch controls a lightbulb as shown 7 The output is defined as the state of the light L lfthe lightis on sgt L1 lfthe light is offagt LO o The state of L as function ofx is s Lxgtlt o Lgtlt is a logic function 0 x is an input Variable m Battery X Light a Simple connection to a battery Power I supply p Usan a ground connection as the return path Variables and functions AND Elearlca r conouar anoinoonno Dr o J Jackson LedureZ 0 Consider the possibility of two switches controlling the state of the light 0 Using a series connection the light will be on only if both switches are closed LX11 X2 X1 X2 L1iffifand only if x1 AND xoare 1 AND operator Power X2 szz Supply I The circuit implements a log cal AN D functon The logical AND runction series connection easinca AcumvmaEnglneerlng Dr o J Jaclson LedureZS Variables and functions 0R 0 Using a parallel connection the light will be on only if either or both switches are closed Lgtlt1 X2 x1 x2 L1ifgtlt1 OR x2 is 1 or both Fuwer quot 0R operamr supply 1 Mg XI The Circuit implements The luglcal OR funttlurl parallel tunnettlun a log39cal 0R funcmn zlaonca sconomanznolnoanno Dr D J Jackson LeciureZT Variables and functions 0 Various seriesparallel connections would realize various logic functions Lgtlt1 X2 X3 X1 X2 39 X3 Power Supply 1 Eemrlca sconomaznonoanno Dr D J Jaclson LeciureZE Variables and functions o What would the following logic function look like if implemented via switches Lgtlt1 X2 X3 X4 X1 X2 0939 X4 Power Supply 1 zlaonca sconomanznolnoanno Dr D J Jackson LeciureZS Inversion 0 Before actions occur when a switch is closed What about the possibility of an action occurring when a switch is opened Lgtlt Where L1ifgtlt0 and L0 if x1 o Lgtlt is the inverse or complement of X gtltgtlt NOTgtlt The circuit implements a log cal NOT func on Eemrlca sconomaznonoanno Dr D J Jaclson LeciureZ 1D Inversion of a function o If a function is defined as X1 X2 X1 39 X2 0 Then the complement of f is 7gtlt1 X2gtlt1Tgtlt2 X1 X2 0 Similarily if fgtlt1 X2 X139 X2 0 Then the complement of f is 7gtlt1 X2 X139 gtlt2gtlt139 X2 zlaonca sconomanznolnoanno Dr D J Jackson Lecturele Truth tables o Tabular listing that fully describes a logic function Output value for all input combinations valuations X1 X1 X1 0 0 1 0 1 0 1 NOT 1 Eemrlca sconomaznonoanno Dr D J Jaclson LeciureZ 12 Truth tables Truth tables of functions Truth table for AND and OR functions of three variables m 1392 25 ml mtg r23 21 i 52 i 25 U U U U U 0 0 LL 0 LL U i U U EL 0 1 LL 0 LL 1 H U U H l 0 LL 0 LL I I U D II 1 L H H H If Lxyzxyz then the truth table for L yz 0 0 0 1 0 0 0 1 Electricl a cannula Englneenng m n J helmquot Lajurez 12 Electricl a cannula Engme mg m n J Jcksnn Lamquot 2 Jo Logic gates and networks Logic gates and networks Each basic logic operation AND OR NOT can be implemented resulting in a circuit element called a logic gate A logic gate has one or more inputs and one output that is a function of its inputs X1 X2 X1 X X1 X2 X1 X2 X71 2 Xn AND gates X1 X2 X1gtlt2 I x1gtlt2 mquot Xquot OR gates x gto NOT gate Electricl a cannula Englneenng m n J helmquot Lajurez 15 Electricl a cannula Engme mg m n J Jcksnn Lamquot 2 15 Logic gates and networks Logic gates and networks A larger circuit is implemented by a network of gates Called a logic network or logic circuit Draw the truth table and the logic circuit for the following function Fabc acbc u o b 0 0 1 1 0 0 1 1 40400000 04000400 Electricl a cannula Englneenng m n J helmquot Lajurez 11 Electricl a cannula Engme mg m n J Jcksnn Lamquot 2 1n Analysis of a logic network c To determine the functional behavior of a logic network we can apply all possible input signals to it EIgtEIgt1gt1 Xi Netwurkthat implementi 39xpx1 x2 sigma AcumvmerEngineying Dr D J Jackson La urezia Analysis of a logic network o The function of a logic network can also be described by a timing diagram gives dynamic behavior of the network 1 l n l l ll A l l E l i n l l l m Timing mamam r sewing AEomDmaEngmesring Dr D J New La urezm

×

×

### BOOM! Enjoy Your Free Notes!

×

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

Steve Martinelli UC Los Angeles

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

Kyle Maynard Purdue

#### "When you're taking detailed notes and trying to help everyone else out in the class, it really helps you learn and understand the material...plus I made \$280 on my first study guide!"

Jim McGreen Ohio University

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

Parker Thompson 500 Startups

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com