Introduction to Karnaugh Maps - Combinational Logic Circuits, Functions, & Truth Tables

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This video tutorial provides an introduction into karnaugh maps and combinational logic circuits. It explains how to take the data from a truth table and transfer it to a K-map. It explains how to use the karnaugh map to write a function using switching algebra. It also explains how to draw a combinational circuit using logic gates such as AND / OR gates given the function. Examples include k-maps with 4 variables and with 3 variables in the horizontal orientation as well as the vertical orientation. It also explains how to draw the Karnaugh map directly from a function with boolean algebra.
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Опубликовано:

28 фев 2019

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Комментарии : 1,5 тыс.

@TheOrganicChemistryTutor 6 месяцев назад

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

@erichgonzalez6685 4 года назад

This guy is carrying all of us from semester number one to graduation day.

@skellingtonmeteoryballoon 3 года назад

Lol facts

@xcx8425 3 года назад

You speak only Fax

@thotarojoestar3045 3 года назад

I love how for 9 months straight people come here to type fax lmao Fax

@asadminhas811 3 года назад

Fr dude has a video on literally everything

@shafni994 3 года назад

🤣🤣🤣

@SadisticOtters 3 года назад

2 hours of class down to just 30 mins and its fucking free.

@salehjabr6594 3 года назад

Also, more understandable. 😂😂😂😂😂

@dAntony1 3 года назад

lol Have been skipping class for 2 weeks, this 30 minute video covered the entire chapter.

@nicolasdagenais396 3 года назад

bruh....i was literally thinking this in the middle of class today...

@armincal9834 3 года назад

yeah the only difference is that youtube videos don't give you a degree with which you can get a job :/

@unknwn7909 3 года назад

And he's not even Indian!

@ruchitabhadre2968 2 года назад

There is a mistake in the last step at 29:17, actually C is 1 in 3rd and 4th row. Apart from that the video was really good, I was able to refresh my concepts!

@zulaikhatutor Год назад

yes. i thought i was the only one that detected that

@Downlup Год назад

@@zulaikhatutor was going crazy fr

@jabulanimakhubu301 Год назад

I got confused on the last minute there, hence I came to the comments.

@ensleydarku4407 Год назад

Yhhh, that's a clear mistake

@raytech2869 Год назад

yeah was about to comment

@yahyaa4499 5 месяцев назад

Any CS students here ?

@grace.wacuka 3 месяца назад

Here

@farzeenarshad384 3 месяца назад

@GIGATHEBOT 3 месяца назад

@nur_ul_amyn 3 месяца назад

Yeah cuz of fuckin DLD

@060SannanYasin-ep8gj 3 месяца назад

Me too

@amouxaden 4 года назад

Dude you have no idea how much I've been struggling with this. The way you explained this was incredible and you kicked my Digital Systems professor's ass. Thank you for making this video and helping me, total lifesaver.

@buana9588 4 года назад

hahahah

@TahuRock 2 года назад

are you at monash university by any chance?

@sammunta1543 2 года назад

kkkk

@bobjohnson6514 2 года назад

Agree 100%. I’m in a class that is mostly self taught and admittedly am studying last minute for my exam but this has made my confusion for the past couple weeks go away.

@efuetbrandon1022 Год назад

Same

@alisheraz5162 5 лет назад

Sir In the last example you have taken D instead of C as a consideration for last relation

@joebob2311productions 5 лет назад

I knew something was up for that one

@titib.c2752 5 лет назад

correct. good eyes

@jeffersonmatalog1534 4 года назад

I was about to write it but this comment bumped on me the moment i open the comment section... thanks

@Aqwtiny 4 года назад

lol Im glad someone noticed it i thought i was trippin

@abuhanan83 4 года назад

I though he put the prime sign on the D instead of C so than I realize the opposite anyway great video thank you sir

@mohammadbahri4832 4 года назад

You are a legend, whenever I hear your voice explaining anything... I just know that I'll finally understand it man, THANK YOU!!!!!!!!

@davidclegg123 4 года назад

mohammad bahri I second this

@danteafton4096 3 года назад

The amount of back pain you must have for carrying 2.44 million people's CGPA must be immense.

@munto7410 3 года назад

Lmao

@vitaliitomas8121 2 года назад

Don't worry, it's supported by his balls of pure Titanium

@vortex7665 2 года назад

Factss

@AbhishekHCS 2 года назад

There's nothing to say about this guy, I'm posting this comment from my official college id, and i found this video more helpful than college lectures.

@gaalixx4965 3 года назад

I was completely lost on the entire concept after my class. Basically as soon as I turned on this video, I was gifted with knowledge. You're an absolute legend! I think I will have to check out more of your videos for whatever I'm struggling with.

@circuitsanalytica4348 3 года назад

Absolutely right bro.....

@yunamub.yassaryunamujr142 10 месяцев назад

Being able to pick up a tiny mistake at the end shows that I understood the concept. My fav tutor since high school. You are better than my teachers and lecturers. JG still a hero. Big thanks 😊🙏

@simonchabab2724 3 года назад

This world needs more teachers like you! On behalf of my engineer class in Norway, thanks so much!

@circuitsanalytica4348 3 года назад

Yes absolutely right...

@NanaYawMedia Год назад

Yes you are right

@ForeverFlow Год назад

Norwegian engineering student here too!🎉

@aviesam3734 4 года назад

I can’t thank you enough, my teachers tried so many times. The way you explained in this tutorial in just 30 minutes, my teachers were not able to do in about 15 hours. I feel I’ve been saved, thanks to you. Your teaching method will remain with me forever and I’m forever grateful to you.

@aike7976 3 года назад

My man. You always saved my life from the start of my college years. When our professor introduces us a specific topic, i find it very hard to answer. After watching your video it's super easy. Thank you!

@kenshinhimura8708 4 года назад

You are the hero we all needed and the one we deserved,and the one we still need and deserve today. I’ve been covering all engineering subjects while the school year is at a standstill in 2020. I would have not understood half the gibberish in my textbook if it wasn’t for this video and your good speech & volume. Thank you so much man,and keep this up.

@user-bk8sk5cl2o 2 года назад

3hrs of lectures that cost $100 < 30mins on YT for free. What a legend.

@josh2x59 5 лет назад

Man i've got to say, thank you, youve been there for all the engineering subjects that i need help in. You're an absolute blessing, keep up the awesome work man!

@andresyesidmorenovilla7888 4 года назад

Hypermega RT!

@baraabilbeisi1904 5 лет назад

OMG! Literally less than a week ago I was like "Shoot! He didn't make a video on Karnaugh maps", and then you make one.

@roni-suemyles7898 2 года назад

I can't even begin to tell you how invaluable your videos have been to me. Your knowledge coupled with your methodology in teaching has made it possible for me to come up to speed and succeeding at work as a Software Engineer. I have watched many RU-vid video through the years and yours far surpasses all the others. Thank you so much for all that you give to your followers, it's greatly appreciated.

@jalal0548 4 года назад

OMG this guy he knows everything Mashallah

@schaz7563 5 лет назад

The fact that this is an Organic Channel makes it exponentially brilliant and hilarious. Thank you so much for the video, really helpful.

@electricbill872 3 года назад

he has saved so many students from failing.. this some honest work

@circuitsanalytica4348 3 года назад

Exactly....

@bordzplays7561 Год назад

I just learned my first semester in just a day through him. Your "cap" man. Love ♥️

@ThePyroMEGA 2 года назад

This guy deserves more than the world because you know he has helped countless individuals. You sir are a smart and dedicated person and I hope your life is going great.

@muralikumar635 5 лет назад

Thank you so much for this! I have my exams and this definitely is helping me... Thanks again

@Frogboy71 2 года назад

Man you are in everything lol. I used your vids throughout highschool and now in all my college class. No matter what math and science class I look something up in you always have a video. Thank you. I don't understand how one person can be so smart. But again thank you from the bottom of my heart.

@AnasKhan-gt5qe Год назад

What a great teacher for not just chemistry but almost everything from calculus to the differential equation and now digital logic design basics too! THANKS SO MUCH

@smoyer64 4 года назад

At 12:37 you missed a reduction. Because Gray's code is used to ensure only a single bit changes between values, you can also wrap horizontally, vertically or both. So the top-right and bottom-right ones should be wrapped vertically into a two element group and the third product should be AC' instead of ABC'. Another reduction was available at 28:52 but this one came about because the function you started with was not itself reduced. When the single green square is drawn, it can instead be grouped with the one immediately below it and going round-trip, that results in a simplification of the original function to C+AD'+A'BD+AB'C. I should also point out that when you place the AD' product into the k-map, you show an example of a wrapped term - if you actually rewrote the function based on having two red circles, you'd end up with two three element terms: AC'D' and ACD'. When you see those two terms together it's pretty clear that the C' and C can be combined. I haven't used k-maps for hardware development for almost 20 years but at the time I was getting pretty good at spotting exclusive-OR gates. Since then, I've used k-maps to turn complex (multi-nested) if-then-else code into a calculated value.

@NN-en2vg 4 года назад

Yea I got that one too..

@Daniel-ot4qw 4 года назад

@@ellelee453 1+1 doesnt equal 2 because its a logic gate not adding numbers. 1 is on and 0 is off so if both terminals are 1 then the F would be 1 meaning that the final output is on.

@stephaniecurry45 4 года назад

Elle Lee what do you mean F = 2 😂? F can only be 1 or 0

@theguyman232323 3 года назад

for the one at 12:37. If we wrap the top right with the bottom right, that would be 3 1's which is not the result of a power of 2

@eac-ox2ly 3 года назад

@@theguyman232323 He meant grouping only two ones, the top right and the bottom right, not including one 1 representing A=1, B=0 and C=1. Yeah, you'll have the top right 1 in two groups simultaneously but that is completly allowed and you'll end up with a reduced function.

@masudimusonda5748 4 года назад

This is really helpful I have my exam tomorrow and this video has boosted my self esteem. Great content!

@jackbeardsley9 4 года назад

I watched this video and it was a huge help! Very steady pace and allows time to go over all types of variables that can be presented! Huge thanks I now get them!!!!

@oldiesmusiolife 3 года назад

Man, i have no words really like a 3 hr class in just 30 minutes thats to the level, thanks man keep it up!!!

@Fjasdflasdf 3 года назад

Hello, thank you for teaching me everything I am here learning 1 hour before my machine architecture final. You're a real great guy man! God bless you

@circuitsanalytica4348 3 года назад

Absolutely right bro... very good tutorials....

@Pharaun2009 3 года назад

Me: _Googles random computer science topic_ The Organic Chemistry Tutor: Check this shit out

@riptiide9285 3 года назад

_googles _*_any_*_ topic_

@lance5964 3 месяца назад

The introduction of the idea of certain groupings being dependant or independant on certain variables and their values and using this to choose which variables to put in the equation was so amazing. Once I understood that, every problem seemed so easy. Thank you so much.

@piraveenkarunamurthi5074 Год назад

i just finished my digital system class. I was so worried about k-table but not after watching this. Thank you so much sir for teaching us your knowledge in a simplest way.

@omerabdelrahman7192 2 года назад

Im In a school bathroom tryna learn a whole topic in 10mins before my exam.

@user-ez3gw8ze5v 3 месяца назад

Relatable 😅

@omerabdelrahman7192 3 месяца назад

@@user-ez3gw8ze5v dude I passed and went overseas to study just cuz if this guy

@96mfnss 5 лет назад

This video saved my semester! Excellent job and thank you!

@alarkels 24 дня назад

I discovered your channel early in my mechatronics engineering journey when I was desperate to understand calculus concepts in a hurry. My program is accelerated, so we learn in 5 weeks what students typically learn in 3-6 months. You saved me so many times in Calculus. Then you helped me in Physics. Then again in Electric Circuits I, and Electric Circuits II, and Semiconductor Devices, and Electric Circuits Applications, and now in Digital Systems. I'm really starting to understand the comments I always see about how you're carrying us through our degrees. I hope you understand how much your work benefits the world, and I hope you pat yourself on the back on a regular basis. Thank you for sharing your talent with us.

@mad_bad_cat Год назад

RIP Karnaugh Maurice! Thank you for the amazing stuff you did for 98 years.

@KenseiAo 2 года назад

Here are some tips I learned myself by watching this video that might help you write the function in its most reduced form. [for example, the final function was not in its most reduced form. The simplest form is C+A'BD+AD'] - His Kmap for the final function is wrong since he switched his C and D. Tips: 1. you must have every single (1) from the Kmap in a group. 2. to have the simplest form of the function, each (1) should be in the largest group possible. 3. remember that groups can include any factors of 2 (ex: 1, 2, 4, 8, 16...) 4. REMEMBER that you can have groups of (1)s that wrap around the Kmap. --- For example, the correct Kmap of the final function (without the 1 in column 4 row 2) has 3 different groups. ---- One group are the 8 (1)s in the bottom 2 rows. ---- Another group is includes the (1) in row 2 column 2, but since you want to put it in as big as a group you can, you group that one with the (1) below it. ---- The Last group includes the 2 (1)s at the top right along with the 2 (1)s in the bottom right (again, this is because you want to put them in the biggest group possible, and you can wrap the groups around the Kmap. I wrote this because these were questions and thoughts that I had that he did not explicitly answer or address.

@ovicita 2 месяца назад

correct

@iarpyrkhatwanlah Год назад

His teaching skill is Unique and easy to understand.Simplicity.....

@kimjuanico9326 2 года назад

Thankyou. 2 weeks before exam you've been my help in recalling the foundation of engineering topics. And now I am an Engineer. Godbless.

@MahderHtsanat 4 года назад

You don't know how much helpful and clear your tutorials are. Thank you so much.

@circuitsanalytica4348 3 года назад

Yes really excellent videos....

@RonLWilson 2 года назад

Wow, I remember learning this in school way back in 1977 and have long since pretty much forgot it. Great video!

@kimtyrone9431 2 года назад

YOU’RE BETTER THAN MY PROFESSOR DUDE. Thank you so much

@jktenny 3 года назад

The way you explain this thing make it look sooooooo clear and easy. None of my school mates got this through our math teacher. They just confused and found this thing doesn't make any sense. this almost 30 minutes video is much useful than hours of lesson in class for this particular. Let me know if you come to Belgium one day, i will reward you with plenty of chocolates and waffles, coz you deserve it. You are a hero!

@samguy7209 Год назад

The first 5-6 mins really helped me understand the logic behind Kmaps. Thank you!

@draculemihawk4959 2 года назад

12:22 You can encircle or group together the lower right (110) and the upper right(100) so Final simplest answer is A'C+AC'+AB'

@cookingasmr6229 5 лет назад

i cant understand how you dont have more views!! your videos are literally the only ones that help me, you're amazing.

@star2638 4 года назад

hey there ,Can I have your insgram please i need you in case !!!

@sidchannel225 4 года назад

Your a simp bro heheh

@vithiyananthanesanmanuelje3772 3 года назад

sir its great, i learned within 30 mins whole calculation and just save my time.

@sirakovich1 4 месяца назад

I never met a better lecturer than you, you are the best !

@ijs733 5 лет назад

Thank you this will help me for digital logic so much

@mucyurabuhorophilemon7828 2 года назад

Thank you for the nice course , it is helpful and on the last step you did AB'D instead of AB'C, it is a small mistake but I appreciate your warm work! !!!!

@thegamingbeauty4449 Год назад

This man is the reason i am still studying and passing exams thank you you don't know you are helping so much people thank you...

@user-ow9dt6if8q 8 месяцев назад

your video saved my life and after searching after 2 days and i did not find any videos with my german language your video changed everything and just in 10 minutes i understood every thing thankssss

@franknjanji7850 Год назад

This was so clear, and being able to notice a mistake on the last example means i have understood the concepts. Thank you💯

@solomonglenda6811 2 года назад

This was very helpful! Thank you so much. I wish there was a way you could produce more videos in engineering. It’ll really help us.

@feagy 2 года назад

Bro how we take f if there is only 1 one in k map

@zeex4904 2 года назад

Thank you so much! My professor explained kmaps in literally 2 lectures and I didn’t understand anything till I watch this video. You saved me.

@paulsantiagovaldez5312 3 года назад

Hello sir. On the AB'C part (29:22), I think you put 1 and enclosed the part where D = 1, and not C = 1 sir

@circuitsanalytica4348 3 года назад

Yes, you are right....

@mr.jamaljumma3391 3 года назад

Yes, I've notice this too.. so it's make the final function as F=C+AD`+A`BC`D+AB`D

@lighthouse5364 2 года назад

@@circuitsanalytica4348 me too I noticed it

@saviourdelvin2814 Год назад

I also noticed it.. hope he collects that.. thanks

@justins7796 4 года назад

8:59 If you rotate 90 degrees clockwise you'll see one happy logic circuit.

@miljanmiljanovic487 4 года назад

And if you rotate counter clockwise you'll se a dildo with 2 jet engines..

@justins7796 4 года назад

@@miljanmiljanovic487 😂💀

@mukybrown4087 2 года назад

😂

@raffayshahzad942 Год назад

I have an exam in an hour and I'm watching your videos. You are a lifesaver man. My teacher do not explain this simple, I had no idea what this was the whole semester.

@shosh4511 2 года назад

You are such an amazing teacher. I am watching your video from the other side of the world , what I mean by that is that you are helping people from all around the world.

@zeductively8319 4 года назад

I wish i can pass my Midterm hmm there is mistake in last minutes but I glad I noticed it by myself. Thank you

@circuitsanalytica4348 3 года назад

Yes bro, he is really good...

@Douzeyuni 3 года назад

I like how I saved myself 50 minutes of lecture time just watching this video. This is absolutely priceless

@charlieike8414 4 месяца назад

i love you. I never expected the greatest math teacher of all time to also teach engineering. You are an amazing human being and god bless your soul.

@FlickFusionGaming 2 года назад

You are a life saver dude! People make sure you watch all the ads on his videos to make sure he's getting paid for this.

@sammylk 5 лет назад

You're legit amazing!!! My theory has been that you're a pre-med student making these videos as you go along. (which makes it all the more impressive that you have the time for that!!!) Is that correct?

@Septicemic-Fugue 4 года назад

Takes one to know one :p although premeds have a tendency to project bc they're so neurotic and isolated sometimes.

@NoName-yy1jx 5 лет назад

29:18 this is D's ones not c's

@handsomeinosuke3628 3 года назад

yea he did it wrong but its ok.

@DavidNwokoye 3 года назад

Yeah he messed that up but the lesson is 🔥

@cr0cop738 3 года назад

Noticed that too

@danahusin1144 3 года назад

today we studied this lecture at uni which i understand nothing so i searched it up and i found this video,, and i think my teacher had copied and pasted this because she did the exam mistake as this guy did hahahah at 29:18

@sihlethembinkosi4657 3 года назад

I give you all the rewards man👏👏whenever i hear your voice i just recover from the stress of not understanding,because i know by then i will understand

@circuitsanalytica4348 3 года назад

People like his videos very much, right.....

@secheriflorida1093 Год назад

The entire semester this unit has given me great headache...but in 30 minutes,you've chenged my life, thanks a lot

@leisure8969 3 года назад

4:29 nice Shakespeare quote here sneaky

@TheItalianGuy00 5 лет назад

Wow the timing on this, I have a test on this in a week

@Estevam324 Месяц назад

brother i want to thank you for explaning so well and with pacience. its not even my main language, but i undestood SO well. ty!

@hllywdunddnnpnt 6 месяцев назад

This is a good tutorial, I've been trying to grasp this concept for a few days now, both watching and reading different tutorials, but I just couldnt grasp it. Even in this tutorial I was still lost on how to make an equation from a K map (even after it was explained with examples). It wasn't until they explained how to make a K map from an equation (in reverse), that everything started to click. I was honestly about to close the video in frustration, so I'm glad I watched the entire video.

@fantanaideilor Год назад

At 00:29:40 it's 1 AND 0, not 1 'times' 0. There are some other mistakes, but overall excellent work! Thanks!

@jeroenvanlangen8953 4 года назад

I'm new to Karnaugh maps, so I'm learning to use them, but I wonder: on the example at 12:40, is it allowed to not map the ones, but map the zeros? For example like: (C'A'+ABC)'

@alexlugibihl2915 Год назад

I've been trying to figure this out for 5 hours and you've done it quickly

@MAhmad-tg 7 месяцев назад

Bro, r u an angel or what!? U explain everything and u explain everything so eloquently! God bless u man!

@VikingCanadian 5 лет назад

OMG this is awesome!! Would you kindly do gate delays and hazards :)))

@abiodunshittu8402 2 года назад

He deserves my school fees 😭

@eassonweisshaar9900 2 года назад

it just hit me that this guy literally has a video for every topic i’ve gone through in my eng courses

@TheSkarabeush 3 года назад

Thank you very much, any time I forgot k-maps rules I get back to your videos, much appreciate.

@hetav6714 3 года назад

So no one is going to talk about why the channel named "Organic Chemistry Tutor" is teaching Karnaugh Maps. Alright....

@MuhammadAhmed-nl4bd 5 лет назад

Bro. You went wrong at the end. Kindly review it. You considered D instead of C in the last example...do look into it.

@SquareRoot_ 2 года назад

Thank you so much. My professor slides finally make sense, all thanks to you.

@NekoInKimono 4 года назад

Thanks, my professor did a terrible job of explaining this for an entire hour and you cleared it up perfectly in half that.

@seanD11 Год назад

At 17:49, can you also group the two ones horizontally on the second row?

@leimad13 Год назад

Funny watching it now and seeing a question from just several hours ago:) To answer, yes you could but it is not needed at all as these two ones are already in other groups and are taken care off (the combination of ABCD for these ones is done through these two other groups).

@seanD11 Год назад

@@leimad13 thankyou!!

@blazingblackol1248 Год назад

Actually you can't you need to group the one with the maximum ones ,so if you group the horizontal ones other ones will only get grouped as one

@leimad13 Год назад

@@blazingblackol1248 Yes but he asked if he can also group them. You can if you want to but they are completely redundant.

@nathanvijay6141 3 года назад

4:51 in x2 speed. *schindler's list violin plays"

@DavidNwokoye 3 года назад

😂😂😂

@1960markN 3 года назад

Wow--I had this 40 years ago at Idaho State Vo-Tech. Never used this in my career, but fun to go back and re-learn it.

@emoryhiensahl3140 7 месяцев назад

You finally made me understand how this works. Thanks from an engineering student from Norway!

@atx4atx1 5 лет назад

On the last example u picked the 1s for d not c, but referred to c, .....am I missing something? Lol

@b3zzi 5 лет назад

2nd row should be 0100

@circuitsanalytica4348 3 года назад

He interchanged C and D

@duckymomo7935 5 лет назад

Not C lol

@MegaBender-yt8zj 3 года назад

Straight, to the point, and directly gets to the meat than throw around terminologies. Thanks a lot!

@circuitsanalytica4348 3 года назад

Yeah, to the point video....

@talhahabib9695 4 года назад

I was struggling with dld and now Thanks to you I can easily understand these logic gates kmap etc.

@mateussantos1041 3 года назад

Who else heard "Nazi" instead of "not C"

@sirekay4292 4 года назад

I'm glad i noticed the error its evidence of how great a teacher you are.

@muhammadahmad7894 4 года назад

Thanks a lot .First i was learning it from my professor tutorial and i could not understand anything but now after watching this video i have learnt many points about K-map. Thanks a lot once again.

@circuitsanalytica4348 3 года назад

His videos are really nice....