Don't Care Conditions in Karnaugh Map (with Solved Examples)

Ғылым және технология

In this video, what is don't condition in digital circuits is explained, and using the don't care terms in the K-map, how to minimize the Boolean Function is explained using the Solved Examples.
Chapters:
0:00 What is Don't Care Condition
2:07 Example 1
4:52 Example 2
8:32 Example 3
Don't Care Condition:
In digital circuits, many times some input combinations are never used. The output for these unused input combinations is un-specified. (e.g in 8421 BCD code, the six combinations are invalid codes ). Such input combinations are known as don't care combinations and in the K-map, such don't care terms are defined by either X or d. In the K-map, these don't care terms can be used for the minimization of the Boolean Function.
In this video, through the different examples, it has been explained that how to use the don't care condition in the K-map for the minimization of the Boolean Function.
Digital Electronics (Playlist)
• Digital Electronics
This video will be helpful to all the students of science and engineering in understanding what is don't care condition in Digital Circuits and how to use them in the K-map during the minimization of Boolean Function.
#ALLABOUTELECTRONICS
#KarnaughMap
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Пікірлер: 74

  • @ALLABOUTELECTRONICS
    @ALLABOUTELECTRONICS2 жыл бұрын

    For more information, check this playlist of Digital Electronics: kzread.info/head/PLwjK_iyK4LLBC_so3odA64E2MLgIRKafl

  • @jigneshkhatri4623
    @jigneshkhatri4623 Жыл бұрын

    This playlist is underated af

  • @karanpalsingh6065
    @karanpalsingh606524 күн бұрын

    This single video covered all my doubts about sop , pos and k map which I was searching every where bit by bit from whole day, Thanks alot

  • @ashif2303
    @ashif23032 жыл бұрын

    Channel have good quality of animation and teaching method is very good.....I love it

  • @p.krajput0601
    @p.krajput06012 жыл бұрын

    My exam is on 20th Jan 2022and you have posted the video on exact time. 😎 Tx you sir.....op ❤️❤️

  • @Yash-bq8ui
    @Yash-bq8ui7 ай бұрын

    Best channel tomorrow are my exams ❤ concepts cleared very well

  • @mayurshah9131
    @mayurshah91312 жыл бұрын

    HEARTLY CONGRATULATIONS FOR 4 LAKHS SUBSCRIPTION BLESSINGS ❤️❤️

  • @SN-ow1bp
    @SN-ow1bp11 ай бұрын

    Great video, you're a good educator.

  • @yarenkaya7872
    @yarenkaya78722 жыл бұрын

    Thank you for the tutorial but what about the real-life examples that can make us get the concept of don't care and when they are actually used while creating the truth table on our own without a set condition?

  • @dannyhighlights9729
    @dannyhighlights97292 ай бұрын

    Thank you sir watched all the videos given to me as per the handout,and understand all the concepts really well.

  • @wealth_wisdom_simplified
    @wealth_wisdom_simplified Жыл бұрын

    Thank you man this work is so good!!!!

  • @namratabatli8015
    @namratabatli8015 Жыл бұрын

    thanks a lot it was really helpful.

  • @audreykoffi8867
    @audreykoffi886710 ай бұрын

    1:01 We only use don’t care when the fonction is unspecified for certain values?

  • @swethakamadri
    @swethakamadri3 ай бұрын

    Actually I have no words to say This video helped me a lot🥲 I cleared my DLD examination with good Mark's...thank U so much❤....

  • @AashiqueHussain_
    @AashiqueHussain_2 жыл бұрын

    thank you! was helpful

  • @iitmeans-life6657
    @iitmeans-life66572 жыл бұрын

    Sir Sir I am a beginner now. And may want to become electronic engineer. Where do I start and what is my path? What is my path for electronic engineer. I were saw your playlist but I am very confused where to start. Technology playlist?

  • @JayaPrakash-zk5ep
    @JayaPrakash-zk5ep2 жыл бұрын

    Thank you sir ☺️

  • @love_is-overloded
    @love_is-overloded Жыл бұрын

    Thanks really helpful

  • @sutopasarkar497
    @sutopasarkar49711 ай бұрын

    In 9:22 s why we don't use M4?

  • @yaswanthsai5976
    @yaswanthsai59764 ай бұрын

    at 5:52 why you not grouped (5,7,13,15)?

  • @sutopasarkar497
    @sutopasarkar49711 ай бұрын

    In 11:31 wasn’t it will be BCD'?

  • @Lack_Of_Enemies
    @Lack_Of_Enemies5 ай бұрын

    Thanks a lot

  • @TheLoker3
    @TheLoker3 Жыл бұрын

    thank you sir

  • @caghey
    @caghey2 ай бұрын

    you're the best fr

  • @sucheesanketbehera1712
    @sucheesanketbehera1712 Жыл бұрын

    Simplify the following Boolean function F using K-map. F = A' * B' * C' + B' * C * D' + A' * BC * D' + A * B' * C' , d = A' * B * C' * D + ACD + A * B' * D' where "d" indicates do not care conditions.

  • @sucheesanketbehera1712

    @sucheesanketbehera1712

    Жыл бұрын

    Please sir

  • @sakibsnature2479
    @sakibsnature2479 Жыл бұрын

    awasome thanks

  • @chethanms4469
    @chethanms44694 ай бұрын

    Nice sir 👍

  • @jahidarman2436
    @jahidarman2436 Жыл бұрын

    thank you

  • @shohansikder6105
    @shohansikder61055 күн бұрын

    Thanks a lot❤❤❤❤❤❤❤❤❤❤❤

  • @allspirituality8471
    @allspirituality8471 Жыл бұрын

    Good video

  • @kalpakpatil9775
    @kalpakpatil97757 ай бұрын

    Sir at 7:43 there should be one more group of 0x00 in first row of k-map?

  • @ALLABOUTELECTRONICS

    @ALLABOUTELECTRONICS

    7 ай бұрын

    Just by making the two groups, we are able to cover all the 0s in the K-map for POS minimization. So, there is no need to make any other group. That additional group will be redundant one.

  • @Unknown-ik3zk
    @Unknown-ik3zk Жыл бұрын

    At 4.40 when we make group of 4 then why we considered only b complement not any term of a

  • @ALLABOUTELECTRONICS

    @ALLABOUTELECTRONICS

    Жыл бұрын

    There are two group of 4. And I guess you are asking about B' ( The one in orange color). Well, in that case, if you see that group, then as you move from one minterm to another minterm vertically, ( 0 to 4 or 1 to 5) then variable A is changing from 0 to 1. similarly if you move from one minterm to another minter horizontally ( 0 to 1 or 4 to 5) then value of variable is changing from 0 to 1. Only non-changing variable is B. And in the group, the value of variable B is 0. Therefore, that group represents B' . Similarly, if you see the second group of 4 in the yellow color, then it represents A'. Because, in that group, as you move horizontally, then variable B and C both are changing. Only non-changing variable is A. And its value is 0. Therefore, it represents A'. I hope, it will clear your doubt.

  • @nityamsharma9485
    @nityamsharma94856 ай бұрын

    5:50, why you have not considered B in the 4 cell group while it's not changing? Please help me😢

  • @ALLABOUTELECTRONICS

    @ALLABOUTELECTRONICS

    6 ай бұрын

    At 5:50, there are two groups. In one group variable A and B are changing. That group is C'D. While in the second group variable B and C is not changing. That group corresponds to BC. If you are talking about the second group, then B is already considered in that.

  • @singh86834
    @singh868348 ай бұрын

    9:41 In POS form we represent 0 by A and 1 by A' but you have represented in SOP form

  • @ALLABOUTELECTRONICS

    @ALLABOUTELECTRONICS

    8 ай бұрын

    In the SOP form, I have represented F3'. If you invert it then you will get F3 in POS form. (10:01)

  • @ParminderSingh-uv6ij
    @ParminderSingh-uv6ij Жыл бұрын

    Best ....

  • @malimayaz6377
    @malimayaz6377 Жыл бұрын

    At 8:03 m2 and m3 shouldn't be A'B'C? Can u explain how why it's B'C?

  • @ALLABOUTELECTRONICS

    @ALLABOUTELECTRONICS

    Жыл бұрын

    It is the combination of 4 terms. The pink group consists of M2, M3, M10 and M11. That is why it’s B’C. I hope it will clear your doubt.

  • @NishaChauhan-wi2pq
    @NishaChauhan-wi2pq7 ай бұрын

    11.30 , while making the groups , we should use 2^n cells right? But u are used 10 cells in this question

  • @ALLABOUTELECTRONICS

    @ALLABOUTELECTRONICS

    7 ай бұрын

    If you closely observe then here three groups have been made. In each group, the total no of covered cells are in the power of 2. In one group we have 4 cells, in second group 2 cells and in the third group again 4 cells. So, all are in the power of 2. You do need to add them all. Just need to ensure that, in each group, the total no of cells are in the power of 2. I hope, it will clear your doubt.

  • @shahidmehmood653
    @shahidmehmood653 Жыл бұрын

    Thanks. Can you pleasse the example of 5 veriables with don't care method

  • @ALLABOUTELECTRONICS

    @ALLABOUTELECTRONICS

    Жыл бұрын

    will try to cover one such example.

  • @shohansikder6105
    @shohansikder61054 күн бұрын

    What would happen for single term?

  • @ALLABOUTELECTRONICS

    @ALLABOUTELECTRONICS

    4 күн бұрын

    Would you please elaborate, what you mean to say ??

  • @KoreaRwkz
    @KoreaRwkz8 ай бұрын

    10:12 Shouldn't the small group be Abar*Bbar*Dbar, instead of just Bbar*Dbar?

  • @ALLABOUTELECTRONICS

    @ALLABOUTELECTRONICS

    8 ай бұрын

    The small group which you are referring to is made of four minterms. Minterms m0, m2, m8 and m10 (The four corners of the K-map). And that corresponds to B'D'. I hope, it will clear your doubt.

  • @user-yx2jd6lq3o
    @user-yx2jd6lq3o5 ай бұрын

    sir in this dont care we should consider all x?

  • @ALLABOUTELECTRONICS

    @ALLABOUTELECTRONICS

    5 ай бұрын

    No, not necessarily all x. You just only need to consider those x, which can be used to minimise the Boolean expression further.

  • @venkatesht9444
    @venkatesht944413 күн бұрын

    sir how to draw circuit diagram for this output

  • @ALLABOUTELECTRONICS

    @ALLABOUTELECTRONICS

    13 күн бұрын

    Would you please mention the timestamp in a video, where you are referring. In general, once you have a minimized Boolean expression then as per the expression it is easy to draw a circuit diagram. If you will mention the timestamp, I can tell you, how to draw a circuit diagram for that specific expression.

  • @beefobserver1577
    @beefobserver15777 ай бұрын

    9:55 here why are 0 and 4 not paired? Also,many k map simplifications include not pairing some visible pairs.why that?and how would we understand when not to pair them?

  • @ALLABOUTELECTRONICS

    @ALLABOUTELECTRONICS

    7 ай бұрын

    4 is a don't care term. During the minimization, you need to ensure that all the 1s gets covered (during SOP minimization) and all 0s gets covered (during POS minimization). It doesn't matter, If all the don't care terms are not covered. By including some or all the don't care terms, if you are able to minimize the function further, then you should include them. But its not compulsory to include all of them.

  • @lovekushmalik6929
    @lovekushmalik6929 Жыл бұрын

    Best video for k map i found or sab ki bakwas ha 🎉

  • @divinestartutorials
    @divinestartutorials2 жыл бұрын

    👍👍👍

  • @sudipbiswas4718
    @sudipbiswas4718Ай бұрын

    Sir why Bbar C ?7:40 Not A barB barC?

  • @ALLABOUTELECTRONICS

    @ALLABOUTELECTRONICS

    Ай бұрын

    Here we are making a group of four 1s (not two 1s). The minterms m11 and m10 are also part of that group. Considering the group of four 1s, it is B'.C. I hope it will clear your doubt.

  • @sanjayshah9838
    @sanjayshah98382 жыл бұрын

    👌👌👌👌👌👍👍👍👍

  • @sweety._.s
    @sweety._.s Жыл бұрын

    If f(A,B,C) =π(5,10, 11,12) Then what is F’ ???

  • @sweety._.s

    @sweety._.s

    Жыл бұрын

    Please reply I'm so confused😵😵

  • @ALLABOUTELECTRONICS

    @ALLABOUTELECTRONICS

    Жыл бұрын

    It will be equal to Σ ( 5, 10, 11, 12)

  • @ALLABOUTELECTRONICS

    @ALLABOUTELECTRONICS

    Жыл бұрын

    For more info please check the last part of SOP and POS form video. Here is the link : kzread.info/dash/bejne/i6F_z7VyktOzobA.html

  • @-.-_._--
    @-.-_._-- Жыл бұрын

    At 9:12 why x at 4 is not grouped in the kmap

  • @ALLABOUTELECTRONICS

    @ALLABOUTELECTRONICS

    Жыл бұрын

    It is a don't care term. It is not necessary to cover all the don't care terms in the K-map. But you need to cover all the minterms in the K-map for which the output function is 1. You can use some or all the don't care terms to minimize the boolean expression. But to include all of them during the minimization is not compulsory. I hope, it will clear your doubt.

  • @kausalshukla4948
    @kausalshukla49487 ай бұрын

    Sir Questions POS ke and answer SOP ke Ye bhed bhav kyun😂

  • @musthafakamalpasha.a8180
    @musthafakamalpasha.a81804 ай бұрын

    I think ..there is some mistake in POS form SIMPLIFICATION USING K MAP

  • @ALLABOUTELECTRONICS

    @ALLABOUTELECTRONICS

    4 ай бұрын

    Nope, that’s alright. In case, if you have any doubt, let me know here. Happy to help you.

  • @musthafakamalpasha.a8180

    @musthafakamalpasha.a8180

    4 ай бұрын

    @@ALLABOUTELECTRONICSIn example 3 ..the Answer given is AB‘+B‘D‘+CD How this expression is in POS form..? It is in SOP form..ri8.?

  • @styrishrodrigues
    @styrishrodrigues2 жыл бұрын

    😂😂❤️

  • @satyammishra7210
    @satyammishra721010 ай бұрын

    Sir hindi main bola kro

  • @ukeditz3
    @ukeditz36 ай бұрын

    thank you

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