Boolean Function Representation: SOP and POS Form | Minterms and Maxterms Explained

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  • Опубліковано 19 жов 2024

КОМЕНТАРІ • 136

  • @ALLABOUTELECTRONICS
    @ALLABOUTELECTRONICS  2 роки тому +55

    Timestamps:
    0:00 Introduction
    1:05 Sum of Product (SOP) form
    4:01 Product of Sum (POS) form
    7:16 What is Minterm
    12:21 What is Maxterm
    18:27 Canonical SOP to Canonical POS conversion

  • @GodswillOgweyePaul
    @GodswillOgweyePaul 4 місяці тому +6

    This is just what anyone searching for anything relating to max and min-terms would need. This is perfect

  • @akshattheintrovert3153
    @akshattheintrovert3153 Рік тому +36

    Preparing for my sem 1 through youtube, and seriously teachers like you are really helpful; thank you for the short and crisp lecture

  • @nokutendadenga7617
    @nokutendadenga7617 10 місяців тому +37

    2 years later this info is still useful😂

  • @sanya_the_cat6645
    @sanya_the_cat6645 2 роки тому +9

    Big thank you my friend. Greetings from Hungary!

  • @ManojyadavMamindla
    @ManojyadavMamindla 8 місяців тому +325

    Anyone in 2024😅

  • @Thatshyladyy
    @Thatshyladyy 23 дні тому +1

    Thanks...I couldn't understand a single thing our professor taught...but thanks to you...I can finally understand this

  • @استغفرالله-م7ه7ط
    @استغفرالله-م7ه7ط 7 місяців тому +4

    جزاك الله خيرا
    ع هذا الشرح الرائع ❤❤❤

  • @johnc5090
    @johnc5090 2 роки тому +9

    Thank you my friend. Thank you. Distilled down to what is needed.

  • @qozia1370
    @qozia1370 2 роки тому +8

    subscribed!! the amount of effort in your videos are phenomenal.
    its very clearly written and you English is extremally clear and awesome!!
    i might pass DE with perfect grades thanks to you!

  • @ayushkandari8976
    @ayushkandari8976 11 місяців тому +4

    Great teacher no words only respect

  • @JASHMENPRIETO
    @JASHMENPRIETO 6 місяців тому +4

    I hate to admit it but you teach better than our prof 😢

  • @Cannonbolt-i1t
    @Cannonbolt-i1t Рік тому +3

    Just one word- PERFECT, but if you could just provide notes also like everything in few pages or even these slides also would be a great help. Anyways, A big thanks!!

  • @armanAhsanHabib
    @armanAhsanHabib Рік тому +2

    Many many thanks for saving me my brother!!! best of good luck!!!

  • @siddheshm2499
    @siddheshm2499 Рік тому +21

    😊How afford and time your invested 🥰 to make this awesome video, But why your playlist is underrated ? 😧😩

  • @bhavyayadav9586
    @bhavyayadav9586 4 місяці тому +1

    clear and concise!! thankyou😃

  • @Vibesgotmatched
    @Vibesgotmatched Рік тому +2

    Bro! You are an amazing teacher.☺️

  • @poojashah6183
    @poojashah6183 2 роки тому +5

    Best explanation,👌🏻👌🏻

  • @kulturesports
    @kulturesports 7 місяців тому +1

    Have an exam in an 1hour ..thank you for this
    From an engineering student

  • @StudyWithMe__360
    @StudyWithMe__360 8 місяців тому +24

    Any one ❤️ at 2024😂

  • @aviiamo
    @aviiamo 9 місяців тому

    thank you for making this!!

  • @احمدهلالي-ز1ز
    @احمدهلالي-ز1ز Рік тому +1

    It is a great video ,thanks so much

  • @Josuke217
    @Josuke217 Місяць тому

    Amazing lecture 👏

  • @TheRoyalLion
    @TheRoyalLion 8 місяців тому +1

    Thank you!

  • @androidhacksandtricks641
    @androidhacksandtricks641 Рік тому +2

    I have watched my videos and search on many website about max term after find min term.
    This one is single video which gives full details of both with conversion.

  • @halildalklc4591
    @halildalklc4591 6 місяців тому

    Thanks for the video! But how do you determine whether the output is 1 or 0? For example; the output for (001) was 0 at 10:35 and the output for (001) was 1 at 11:48

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  6 місяців тому

      Here, just to explain the concept, some random 3-varibale functions F1 and F2 were taken.

  • @MKanakaratnam
    @MKanakaratnam 3 місяці тому

    Thank you
    I can understand easily

  • @siddharthshekhawat5502
    @siddharthshekhawat5502 2 роки тому +2

    This video resolve my confusion...

  • @KeerthanaKeerthana-v6f
    @KeerthanaKeerthana-v6f Місяць тому

    Nice explanation bro

  • @hrutvikbandekar3574
    @hrutvikbandekar3574 2 роки тому +3

    sir can please cover k map next month [1 dec] we have exam and im having difficulty ,,,also show simplification using k map {adder subtractor circuiyt} please

  • @avijidshil2751
    @avijidshil2751 Рік тому +3

    how did you calculate the output of the Function F1 as 1 when ABC is 000? how did you calculate the F1 in the truth table?

    • @avijidshil2751
      @avijidshil2751 Рік тому

      timestamp 10:05

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  Рік тому +1

      @@avijidshil2751 Here it has been assumed that for some circuit, we are getting this truth table. Or in other words, we have one circuit which behaves in a way, when input ABC is 000 then its output is 1. And similarly, for the certain input combinations (like 010, 100, 111), its output is 1.

    • @avijidshil2751
      @avijidshil2751 Рік тому +2

      @@ALLABOUTELECTRONICS So those combinations need to be memorised rather than calculated? I'm sorry i just don't understand.

    • @jigarprajapati4591
      @jigarprajapati4591 Рік тому

      I think he is trying to say that we have assumed that circuits and the output@@avijidshil2751

  • @lliamderaa
    @lliamderaa 3 місяці тому

    Thanks a lot big bro

  • @wxua5859
    @wxua5859 Рік тому

    Thanks bro I couldn't understand what my teacher had said in class

  • @jef798
    @jef798 9 місяців тому

    Sorry if I missed something, I don't get why we have to complement the variables from 0 to 1 when writing minterm expression at 8:00. Like is it just a rule or is there a reason behind it?

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  9 місяців тому

      First, for the two variables, A and B we have total 4 different possibilities. So, these 4 possibilities (00, 01, 10, 11) have been shown in the table. Now, during the representation, if the value of the variable is 0 then it is represented by the complement of the variable. (e.g A-bar). And if the value of the variable is 1, then it is represented as it is (e.g A)
      So, for the inputs AB, if the value of these two variables are 00, then corresponding minterm is A-bar B-bar.
      So, that is how different input combinations are represented.

    • @jef798
      @jef798 9 місяців тому

      @@ALLABOUTELECTRONICS thank you!

  • @Jayyvox
    @Jayyvox Місяць тому +1

    Sri lankans 🇱🇰 while the mid exam

  • @KPDMadhuka
    @KPDMadhuka 10 місяців тому

    Thank you

  • @omm9974
    @omm9974 3 місяці тому +1

    Sir Please help in process of maxterm how did u write F1 in truth table 0+0+0 it will be 0 na but u have written 1

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  3 місяці тому +2

      For writing a function in terms of a Maxterm from the truth table, you need to look for the combination in a truth table, where the output is 0. (For finding the expression in terms of minterms, we are considering the combination, where the output is 1). So, basically here we are using a inverted logic.
      So as per this, for example, if the F is 0 for A= B= C = 0, then maxterm is A + B + C. Here, in maxterm representation, when the variable is 0, then represent it as it is, and when it is 1, then we need to complement it.
      So, that is why if function is 0 for A= B = C = 0, then corresponding maxterm is (A+B+C).
      Likewise, if function is 0 for A = 0, B= 0 and C= 1 then corresponding maxterm will be A + B + C'. I hope, it will clear your doubt.

  • @hrutvikbandekar3574
    @hrutvikbandekar3574 2 роки тому

    thn 2 bit adder ,4 bit ADDER and decoder please
    akking a lot but im struggling with this topic 😅😅

  • @Theregulator_
    @Theregulator_ 8 місяців тому +1

    Studying 1 hour before exams 😅😭

  • @harry_kim6940
    @harry_kim6940 2 місяці тому

    thanks

  • @KeerthanaKeerthana-v6f
    @KeerthanaKeerthana-v6f Місяць тому

    Why we need to express 0 in true form and 1 in complement form in maxterms

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  Місяць тому +2

      Because the maxterms and minterms are complement of each other. So, in maxterms, the representation of 0 and 1 is also exactly opposite to the minterm representation.

    • @KeerthanaKeerthana-v6f
      @KeerthanaKeerthana-v6f Місяць тому

      @@ALLABOUTELECTRONICS tq sir

  • @madhumita9967
    @madhumita9967 7 місяців тому +2

    Mai exam se 3 ganta phele dekh rahi hu 2024 me

  • @dinuka2517
    @dinuka2517 Рік тому +1

  • @ronodipsanpui7850
    @ronodipsanpui7850 7 місяців тому

    15:36 why there is need of cmplementing the function first then solving directly we can do from the function given nah?

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  7 місяців тому +2

      We want to represent the same function is POS form. That is why the function was complemented and then F1 was found in POS form. If you want to write directly from F1, using shortcut method then you can do so, by writing the Boolean expression for 0s. But here when variable is 0, you need to consider it as 1.
      For example, F1 is 0 when A = B = 0 and C = 1. So, in POS form, one of the term will be (A + B + C'). and likewise, you can write for all other terms. Here just to avoid confusion, the proper procedure was followed.

  • @irdanleo1928
    @irdanleo1928 7 місяців тому

    Mantap

  • @fchwpo7421
    @fchwpo7421 2 роки тому +1

    ty

  • @rakshitagarg2942
    @rakshitagarg2942 7 місяців тому

    How did you find the value of F1 in truth table ? 11:14

  • @purvishroff5238
    @purvishroff5238 Рік тому

    How you calculated F1 for min term or max term

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  Рік тому

      Would you please mention the timestamp where you are referring to in the video ?

  • @sandip_kanzariya8476
    @sandip_kanzariya8476 2 роки тому +2

    💯

  • @Talkative_bird
    @Talkative_bird 7 місяців тому +1

    Anyone from Aktu 🙋🏻‍♀️

  • @gauripawar281
    @gauripawar281 Рік тому

    How to realisation for this using NAND/ NOR gates

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  Рік тому

      I have already made a video on NAND and NOr gate as universal gate, where I have explained that, how the AND and OR functions can be implemented using NOR and NAND gate. Under digital electronics playlist, you will get all those videos and solved examples. Please check that on the playlist page of the channel.

  • @sutopasarkar497
    @sutopasarkar497 Рік тому +1

    In 11:15 s,how we know that m0=1? Please give me explanation sir🙏

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  Рік тому

      From the truth table as you can see, when all A, B and C are 0, then output of the function is 0. The ( A, B,C ) = ( 0,0,0) represents the minterm m0. I hope, it will clear your doubt.

  • @YogeshReddy-mz2sz
    @YogeshReddy-mz2sz 6 місяців тому +2

    super fucking bro

  • @Hemareddy-xd7tx
    @Hemareddy-xd7tx 11 місяців тому

    How we r getting that F1 values?

  • @nadasr8742
    @nadasr8742 2 роки тому +1

    how to get the function ?

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  2 роки тому

      I didn't exactly get what you are saying. But if the function is not given for specific logic circuit then from the truth table, you can find the function.

    • @Ben-wv8uu
      @Ben-wv8uu 2 роки тому

      @@ALLABOUTELECTRONICS sir, is it a trick that we get the exact function from sum of terms or is it a fully proved argument.....

  • @DVR_EDITS
    @DVR_EDITS 2 місяці тому +3

    Anyone in 2898AD

  • @noorjahanbano2625
    @noorjahanbano2625 7 місяців тому

    F ka value kaise aaya koi bta do yrr exm h

  • @milestoneguy_212
    @milestoneguy_212 3 місяці тому +1

    Amazing

  • @rizahamii2987
    @rizahamii2987 5 місяців тому

    Sir how can we find F1 in minterm?

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  5 місяців тому

      Hi, would you please mention the timestamp, where you are referring to in the video ? At 18:27, I have already explained the conversion.

    • @rizahamii2987
      @rizahamii2987 5 місяців тому

      @@ALLABOUTELECTRONICS what do you mean about it
      F1 is given in exam ?

    • @rizahamii2987
      @rizahamii2987 5 місяців тому

      @@ALLABOUTELECTRONICS or what is F1= xyz'…?

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  5 місяців тому +1

      @@rizahamii2987 If F1 = xyz' then corresponding minterm is m6 (x = 1, y = 1 and z = 0).
      So, similarly, if you have a function F1 = xyz + x'y'z' + xyz' then in terms of the minterm it is equal to m7 + m0 + m6.
      That means F1 = m0 + m6 + m7.
      I hope, it will clear your doubt.

  • @premsainannapaneni8760
    @premsainannapaneni8760 25 днів тому +1

    Any one from 2027 😅

  • @isharajput9991
    @isharajput9991 Рік тому

    How to find value of F

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  Рік тому

      Typically, when you are designing a circuit, then based on the required outcome, you know the expression of F (from the truth table).
      For example, when you are designing a half adder, then you know that, for what inputs, the output F is 1.
      So, from the truth table, you know that, for which minterms the output is 1.
      But academic perspective, sometimes you have been given the entire truth table. So, you just need to check for which minterms, the output F is 1.

  • @105aitthiphonchangchum4
    @105aitthiphonchangchum4 Рік тому +1

    how to fine f1 10:35

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  Рік тому

      F1 function is 1 for the specific input combinations. (minterms). In algebraic form, it is the summation of all the minterms for which F1 is 1. For example, the F1 is 1 when A =B = C = 0.
      So, that corresponds to A'B'C'.
      And similarly, all the minterms have been summed together.
      I hope, it will clear your doubt.

  • @pkus
    @pkus 2 роки тому +1

    How do you calculated f1 colmun values 11:14?

    • @rushalmshah
      @rushalmshah 2 роки тому +1

      In the function, if the particular minterm is present then write 1 in front of that minterm. For example, minterm m0 is part of the function. Therefore, 1 is written in front of that. I hope, it will clear your doubt.

    • @pkus
      @pkus 2 роки тому

      @@rushalmshah what is the difference between 000(m0) and 001(m1) why 1 is put infront 000 why not 001? I dont get your explanation.

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  2 роки тому +3

      Just go through the definition of minterm first. You will get better idea. (7:17 onwards).
      If you see the function F1, then it consist of 4 terms. A'B'C' corresponds to minterm m0. That means in this function, minterm m0 is present. And that's why in the table in front of 000 (m0) 1 is written. Similarly, for the remaining terms, 1 is written.I hope, it will clear your doubt.

    • @kantimahanthisaiakhil45
      @kantimahanthisaiakhil45 2 роки тому

      @@ALLABOUTELECTRONICS hi

  • @Ashk443
    @Ashk443 6 місяців тому +1

    Hindi me bolo yar hm sb Hindustani hai...

  • @raselahmedrana524
    @raselahmedrana524 13 днів тому +1

    Anyone 2025😅

  • @Annugaming146
    @Annugaming146 Рік тому

    F1 kasay aya

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  Рік тому

      Would you please mention the timestamp where you are referring to in the video ?

  • @maazrehman6702
    @maazrehman6702 10 місяців тому

    10:00

  • @Cannonbolt-i1t
    @Cannonbolt-i1t Рік тому

    7:14

  • @efeiyigunler8181
    @efeiyigunler8181 10 місяців тому

    olmayan allahın razı olsun

  • @writesofneel3210
    @writesofneel3210 7 місяців тому

    Kal kiska exam h😢😂