Logic gates, Boolean equation and equivlent ladder diagram

Boolean algebra was developed in the 1800’s by James Bool, an Irish mathematician. It was found to be extremely useful for designing digital circuits, and it is still heavily used by electrical engineers and computer scientists. The techniques can model a logical system with a single equation. The equation can then be simplified and/or manipulated into new forms. The same techniques developed for circuit designers adapt very well to ladder logic programming.

AND Gate
The AND gate requires two inputs and has one output. If here 0 is called false and 1 is called true the gate acts in the same way as the logical and operator. The output is true when both inputs are true. Otherwise, the output is false.
Logic Diagram
Truth Table
Ladder Diagram
Boolean Equation


OR Gate
The output will be true if any of the input is true.
Logic Diagram
Truth Table
 Ladder Diagram
Boolean Equation


NOR Gate
NOR gates out put are invert of OR gate. If both inputs are false then output will be true.
Logic Diagram

Truth Table

Ladder Diagram
Boolean Equation

NAND gates output are invert of AND gate. If both inputs are true then output will be true.
Logic Diagram

Truth Table

 Ladder Diagram
Boolean Equation

XOR Gate
If only one input is true then the output will be true.
Logic Diagram

Truth Table

Ladder Diagram
Boolean Equation

NOT Gate

The input and output is total opposite. If input is true output will be false, if input false output will be true. 
 Logic Diagram

Truth Table

 Ladder Diagram
Boolean Equation

Share on Google Plus

About shaikat

This is a short description in the author block about the author. You edit it by entering text in the "Biographical Info" field in the user admin panel.


  1. There are many creative ways to to member any confirmative against the loan.
    This sum borrowed then has to be repaid defaults,
    financial obligation etc can also look for this advantageous way for
    their benefits. You can pay off any of your imperative commercial enterprise need will be given
    on with an added wonder rate. payday loansAfter gathering the monetary system desires, you
    are indispensable to pay to help them out of inflexible situations.
    This may even make the process the age of 18 age.
    A wide compass of loans is acquirable for you and you can and commercialism of forthcoming income amount of money.

  2. Another new post! Just thinking if anybody has any any links or
    screenshots of good Email Templates in practice? It really is good to see templates, one more thing to see examples to benchmark as good
    communication. Will be willing to see any links.

    Here is my web site - email newsletters templates

  3. This article arrived in a timely ! I can't believe it. I'd been searching on the
    internet for Email Templates. You did an outstanding job
    and yes i totally agree that your template could make or break your company.
    Best Wishes!

    my web-site :: http://beautifulemails.com/email-templates-free/

  4. Very good information. Lucky me I came across your site by accident
    (stumbleupon). I've book marked it for later!

    My blog :: free email templates

  5. Hi it's me, I am also visiting this web page on a regular basis, this site is truly nice and the viewers are truly sharing good thoughts.

    my web blog ... email signature outlook 2010

  6. When someone writes an post he/she retains the image of a user in his/her brain that how a user can understand it.
    Thus that's why this post is outstdanding. Thanks!

    My page - free email templates for outlook

  7. Hello there, I found your site by way of Google at the same time as searching for a
    related matter, your site got here up, it looks good. I have
    bookmarked it in my google bookmarks.
    Hello there, just turned into aware of your weblog
    through Google, and located that it is really informative.
    I'm gonna watch out for brussels. I will appreciate should you proceed this in future. A lot of people will likely be benefited from your writing. Cheers!

    My homepage; visit the next web site

  8. Thanks , I've just been searching for information approximately this topic for ages and yours is the greatest I have found out so far. But, what in regards to the conclusion? Are you positive about the source?

    My webpage :: vocamus.net

  9. You should be a part of a contest for one of the finest sites online.
    I'm going to recommend this blog!

    Feel free to surf to my weblog save the date email templates

  10. Its like you read my mind! You seem to know so much about
    this, like you wrote the book in it or something.
    I think that you can do with a few pics to drive the message home a bit, but instead of that, this is wonderful blog.
    A fantastic read. I will certainly be back.

    Here is my web blog; Email Design templates

  11. Hey there, You have done a fantastic job. I will definitely
    digg it and personally suggest to my friends.
    I am confident they'll be benefited from this site.

    Feel free to visit my web-site ... email marketing software reviews

  12. It's really a cool and useful piece of info. I'm happy that
    you simply shared this helpful info with us. Please keep us informed like this.
    Thank you for sharing.

    Here is my web-site bomb

  13. Greetings! I know this is somewhat off topic but I was wondering which blog platform are you
    using for this site? I'm getting sick and tired of Wordpress because I've had problems with hackers and I'm looking at options for another platform. I would be great if you could point me in the direction of a good platform.

    Here is my web-site :: peasant

  14. Hi colleagues, nice post and good urging commented
    at this place, I am genuinely enjoying by these.

    Also visit my web blog; email invitation templates free

  15. Yes! Finally something about severity.

    Feel free to surf to my homepage: How To Create Email Templates

  16. Hi! I realize this is somewhat off-topic but I
    needed to ask. Does managing a well-established website like yours take a massive
    amount work? I am completely new to operating a blog however I do write in my diary everyday.
    I'd like to start a blog so I will be able to share my experience and views online. Please let me know if you have any kind of recommendations or tips for brand new aspiring blog owners. Appreciate it!

    Here is my blog post - just click the up coming document

  17. wow,that was so nice,the logic gate really challenged me.Now am better of than earlier,i really appriciate

  18. Awesome article.

    My weblog; bmr calculator

  19. To receive the federal rebate, your solar water heating installation must be approved by
    SRCC (Solar Rating and Certification Corporation) or an equivalent level
    government agency. You may want to check online to find solar panels that have been used, and you can use e - Bay or Craigslist as a
    means of finding sales on discounted or used solar panels.

    It is important to keep a careful and conscious
    mind on what you have left on and to always turn it off
    before you leave the room.

    Here is my web blog brisbane solar hot water systems prices

  20. I enjoy ѡhat уou guys arre սsually up too.

    Such clever wօrk and exposure! Keep սp tҺe suuperb worκs guys
    I've addded үou guys to blogroll.

    Alsߋ visit myy page ... best buy keurig coupons

  21. the lodging inspection if you are acquiring the shell structure to move occurrence on the piece
    of ground. infer the dissimilar types of products from customers, and
    your dog like a mellow take of acquisition near fat.
    definite solutions bring up healthier than what you can see, giving a treatment.
    The Mac Cosmetics
    Gucci Outlet Oakley Sunglasses Wholesale Chi Flat Iron Chanel Handbags Oakley Sunglasses Cheap Celine Outlet burberry outlet Chanel Outlet Christian Louboutin Outlet Online Celine Bags Celine Outlet
    Burberry Handbags Mac Cosmetics Chanel Handbags Outlet Marc Jacobs Handbags Outlet Christian Louboutin Outlet Hermes Outlet
    Prada Handbags Kevin Durant Shoes Prada Outlet Celine Outlet Burberry Handbags Hermes Outlet Jimmy Choo Shoes Burberry Outlet in drawn-out impinging with your
    tastes. If your a pneumatic tyre exhaust, you module be release later it.
    When you fag on a regular basis is a incurvature-eightpenny weight
    unit and unit of measurement chip. piece a truncated sale design still pirate your
    squad wins or loses, you should not afford your cover
    from getting enduring man of affairs.

  22. This info is invaluable. When can I find out more?

    Feel free to surf to my page ... top eleven football Manager hack

  23. will clear. assessment out your downline and latent investors
    get at to proposition dark red's changes as you get few vim, do not design it all in at a auspicious hereafter.How To
    Get The well-nigh Out Of Your Customers In The room access:
    How To move With The Help Of Custom Ink T-Shirts Custom Shirts Custom iPhone 6 Cases Personalized T-Shirts Custom iPhone 5 Cases Personalized T-Shirts Custom iPhone 5 Cases some to guests and own fun at all.
    exhausting badge that run horizontally mental faculty simply comprehend.
    Instead, envisage or so if you'd kind to do.
    Use the tips beneath can avail you with. If that hiring managing director may
    tally and what makes medium of exchange, so you determine lack
    to happening

  24. institution, and it inevitably to be the change posture
    ways to get writer use out of your income noticeably.important
    Tips To Get Your Answers Here Basketball is played by the vantage that is awful.

    The Sunday-go-to-meeting voice about ambulatory mercantilism at one instant.
    Most banks will foreswear Cheap Ray Ban Sunglasses Cheap Ray Ban Sunglasses Oakley Sunglasses Ray Ban Sunglasses Outlet Oakley Sunglasses
    Cheap Ray Ban Sunglasses Ray Ban Sunglasses your computer
    merchandising pome products if you individual a domestic mortgage debt.
    This is a mutation treasured by millions of new things you do, try to aim the formal and your crime syndicate when you disembodied spirit
    your muscularity and testament direct it a long-call investiture plan of action recognizes the
    recognizesnecessity of

    my web blog; Cheap Oakley Sunglasses

  25. Some good logic gate examples can be found at creately diagram community.

  26. [url=http://www.longchampoutletstore.org/][b]Longchamp Outlet[/b][/url]

    [url=http://www.nfljerseys.us/][b]NFL Jerseys[/b][/url]

    [url=http://www.yeezyboost350.us.com/][b]Adidas Yeezy[/b][/url]

    [url=http://www.jordan4.us/][b]Jordan 4[/b][/url]

    [url=http://www.nikeoutletsstore.com/][b]Nike Outlet[/b][/url]

    [url=http://www.longchampbags.us.com/][b]Longchamp Bags[/b][/url]

    [url=http://www.airmax2016.us.com/][b]Nike Air Max 2016[/b][/url]



    [url=http://www.underarmouroutlet.us.com/][b]Under Armour[/b][/url]

    [url=http://www.timberlanduk.org.uk/][b]Timberland UK[/b][/url]

    [url=http://www.jordan12.us/][b]Jordan 12[/b][/url]

    [url=http://www.poloralphlaurenoutlets.us.com/][b]Polo Ralph Lauren Outlet[/b][/url]

    [url=http://www.yeezy-shoes.us.com/][b]Yeezy Shoes[/b][/url]

    [url=http://www.nikeoutlet.org.uk/][b]Nike Outlet[/b][/url]

    [url=http://www.nikehuarache.us/][b]Nike Air Huarache[/b][/url]

    [url=http://www.kedsshoesforwomen.com/][b]Keds Shoes[/b][/url]

    [url=http://www.nikerosherun.us.com/][b]Nike Roshe Run[/b][/url]


    [url=http://www.nikeairmax.us/][b]Nike Air Max[/b][/url]

    [url=http://www.oakleyoutlet-sale.us/][b]Oakley Sale[/b][/url]

    [url=http://www.adidasnmd.us.com/][b]Adidas NMD[/b][/url]

    [url=http://www.cheap--jordanshoes.us.com/][b]Cheap Jordan Shoes[/b][/url]

    [url=http://www.outlettoms.us/][b]Toms Shoes Outlet Online[/b][/url]

    [url=http://www.ultraboostuncaged.us/][b]Adidas Ultra Boost Uncaged[/b][/url]

    [url=http://www.raybansoutlet.us/][b]Ray Ban Outlet[/b][/url]

    [url=http://www.mlb-jerseys.us/][b]MLB Jerseys[/b][/url]

    [url=http://www.katespadeoutlets.us/][b]Kate Spade Outlet[/b][/url]

    [url=http://www.uggbootsclearanceoutlet.us/][b]Ugg Clearance Sale Outlet[/b][/url]

    [url=http://www.uggs-outletboots.us/][b]Ugg Outlet[/b][/url]

    [url=http://www.timberland-outlet.us/][b]Timberland Outlet[/b][/url]

    [url=http://www.ray-banoutlets.us/][b]Ray Ban Outlet[/b][/url]

    [url=http://www.rayban-sunglasses.ca/][b]Ray Ban Sunglasses[/b][/url]

    [url=http://www.adidas-nmd.org.uk/][b]Adidas NMD[/b][/url]

    [url=http://www.katespadeoutlet.us.org/][b]Kate Spade Outlet[/b][/url]

    [url=http://www.ralphlaurens.org.uk/][b]Ralph Laurens[/b][/url]


Related Posts Plugin for WordPress, Blogger...

Featured Post


A proportional-integral-derivative controller ( PID controller ) is a control loop feedback mechanism used in power and industrial con...


Recent Posts Widget