Example Problems Boolean Expression Simplification

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  • Опубліковано 5 січ 2025

КОМЕНТАРІ • 387

  • @christosk.945
    @christosk.945 3 роки тому +260

    You're so much better at explaining this than my teacher. Thank you from this video I understood what I couldnt understand in class for like 3 weeks.

  • @jessgraham6888
    @jessgraham6888 5 років тому +813

    If you are reading this, and have a test coming up, please please please, just remember that chart he has, I made an A due to that

    • @Pro-dd4dv
      @Pro-dd4dv 4 роки тому +13

      So kind of you. Thank you so much

    • @bishnugogoi9729
      @bishnugogoi9729 4 роки тому +6

      @Mercury Si we have this in our syllabus.... I am in high school

    • @TheWarBleed
      @TheWarBleed 4 роки тому +24

      I got A bar :(

    • @sujitpaul2139
      @sujitpaul2139 4 роки тому

      yep! budy

    • @Cricketlover-or8fl
      @Cricketlover-or8fl 3 роки тому +2

      @Mercury Si we have this in our syllabus .... and I am in high school

  • @yeasinnewaj6062
    @yeasinnewaj6062 4 роки тому +59

    Man, I have Digital Electronics exam tomorrow but this guy's chart is a gem here. Thank you, man.

  • @michaelpayne5729
    @michaelpayne5729 5 років тому +158

    You just crushed my teacher on teaching this material. Thank you SOOO much!!

  • @SomeCuteDoragons
    @SomeCuteDoragons Місяць тому +4

    Only one question in and it is miles better than how my IT professor does it. I am grateful because you've shown why a certain step is made instead of just showing the step and skipping the explanation behind it, unlike how my professor does it. It really helps to understand the procedure instead of hunting in the dark.

  • @jhjhj2172
    @jhjhj2172 6 років тому +30

    thanks man! it was really confusing topic but you explained it very nicely.

  • @SanilJadhav711
    @SanilJadhav711 4 роки тому +46

    This helps sooo much than the online lectures that we are having right now during the Pandemic
    Staff having mic problems, connection issues on my part or inaudibility, so your little video really helped me out
    Thanks a lot :)

  • @iheartTH1203
    @iheartTH1203 4 роки тому +14

    Thanks a lot for this. I was completely lost before, and watching the first one I was like "HUH?!" but by the 3rd example I was able to simplify all on my own! I still need more practice, but again this REALLY helped me.

  • @thatoneair92
    @thatoneair92 10 місяців тому +1

    ive just joined a computing class halfway through the semester and I really struggled on learning this. thanks so much

  • @shikharjain215
    @shikharjain215 Рік тому +3

    The transformation of the same solution into various forms in Problem 2 would be really helpful for Multiple Choice Questions..... Great work!!

  • @PavlosAssimenos
    @PavlosAssimenos 9 місяців тому

    Very clear and detailed explanation about simplifying the logical functions. Thanks a million.

  • @zeerak8294
    @zeerak8294 4 роки тому +12

    I slightly didn't understand on the first example, I only understood the chart, but when you began the 2nd example it clicked. Thank you so much, it's hard to understand this on a sheet.

  • @stevhandingwall7189
    @stevhandingwall7189 4 роки тому

    not alot of videos help but let me say this helped another lost soul thank you brother

  • @pastelfromgreece9603
    @pastelfromgreece9603 2 роки тому

    didn't really understand at class, thanks to this video I got more insight about this and learned new tidbits.

  • @AshleyTyagi
    @AshleyTyagi 3 роки тому +96

    To remember demorgans remember the saying: Break the line change the sign

  • @materialknight
    @materialknight 4 роки тому +17

    (2:37) A small cause of confusion there! For most people, the boolean Absorption Law is the theorems:
    A ∙ (A + B) = A and A + (A ∙ B) = A
    The theorem he is referring to is one of the two that make the the Law of Common Identities:
    A ∙ (ㄱA + B) = A ∙ B and A + (ㄱA ∙ B) = A
    + B
    Anyways, for anyone interested, here is a different and somewhat more detailed solution to the second exercise (I use Distribution):
    ㄱA ∙ ㄱB ∙ ㄱC + ㄱA ∙ ㄱB ∙ C + ㄱA ∙ ㄱC Given
    ㄱA ∙ (ㄱB ∙ ㄱC) + ㄱA ∙ (ㄱB ∙ C) + ㄱA ∙ ㄱC by Association
    ㄱA ∙ (ㄱB ∙ ㄱC + ㄱB ∙ C + ㄱC) by Distribution
    ㄱA ∙ ([ㄱB ∙ ㄱC + ㄱB ∙ C] + ㄱC) by Association
    ㄱA ∙ ([ㄱB ∙ {ㄱC + C}] + ㄱC) by Distribution
    ㄱA ∙ ([ㄱB ∙ {C + ㄱC}] + ㄱC) by Commutation
    ㄱA ∙ ([ㄱB ∙ 1] + ㄱC) by Complement Law
    ㄱA ∙ (ㄱB + ㄱC) by Identity Law (aka Intersection Law)

    • @maialso6096
      @maialso6096 2 роки тому +2

      Thank you !!

    • @nrgking1667
      @nrgking1667 Рік тому +1

      thank you because i was looking at it and i was like what this was not it. But thanks for clarifying

  • @erickariuki9065
    @erickariuki9065 3 роки тому

    Your way of teaching is the best. It is easy to follow and understand. You just made my work easier.

  • @thevindubandara6525
    @thevindubandara6525 3 роки тому

    Thank you very much . This video helps me a lot , for my studies. so again Thanks a lot .I'm from Sri Lanka

  • @neoflirex_1998
    @neoflirex_1998 9 днів тому

    bro, im terrible at maths beyond imagination, but after watching you, i solved my very first Boolean algebra which was this question 5:52
    bro, you might not understand, this is way too big cannon event for me in my life. It's a miracle

  • @georgesong626
    @georgesong626 6 років тому +22

    Very good explanation, and nice English too. You deserve more subscribers

  • @epikman77
    @epikman77 5 років тому +2

    man THANK YOU i've been trying to understand this for the last hour and watching your video just helped it click.

  • @nidgithm
    @nidgithm 2 місяці тому

    thanks so much for this, very clear explanation
    also, i personally the expression below to my "cheat sheet". while its technically already in the cheat sheet, having this version made things easier for me
    AB+AB'=A

  • @prstrife4517
    @prstrife4517 6 років тому +4

    what an absolute mad lad,really helps me a lot

  • @adamkiwan6237
    @adamkiwan6237 Рік тому

    you're still saving lives after 5 years even !!!!!
    MUCH LOVE MAN

  • @nicholasmaloof8378
    @nicholasmaloof8378 5 років тому +8

    Kind of wish my online course explained it this way. Thanks :)

  • @seananderson682
    @seananderson682 Рік тому +1

    Thank you!!! I was so confused before this!!

  • @siyabongabanda863
    @siyabongabanda863 3 роки тому

    Dary is a comedian hle🙌🙌🙌😂😂😂I've been laughing through the whole video

  • @anr_zo
    @anr_zo 9 місяців тому +1

    من العراق
    Excellent explanation 🎉❤

  • @lionelxxntention8433
    @lionelxxntention8433 3 роки тому

    Wow.. this guy is amazing for real💯

  • @solifuse8079
    @solifuse8079 Рік тому +1

    Thanks man! I appreciate this walkthrough. My CS Final exam in uni is just 2 days away and I was potatoes in this topic

  • @equlix7760
    @equlix7760 5 років тому +9

    Thanks man really helpful straight to the point.

  • @grantcapel9884
    @grantcapel9884 Рік тому

    Didnt get what my professor was saying AT ALL, then you simply said "and" "or" and it all just magically clicked. W

  • @avinashpatel2537
    @avinashpatel2537 4 роки тому

    you are great you solved my doubt
    of my first class

  • @wabbelboss9638
    @wabbelboss9638 3 роки тому

    Amazing Video thank you sm, this really helped me with my Electrical Engineering Class

  • @kalmadani
    @kalmadani 4 роки тому +1

    I was the 4k person to like the video ;) thank you very much

  • @JoseHeitor-ov1pc
    @JoseHeitor-ov1pc Рік тому +5

    Meu mano você me ajudou muito a entender como funciona e eu agradeço muito por isso, abraços do Brasil!

    • @jggarcon
      @jggarcon Рік тому

      me salvou tambem!!

  • @PixeIated
    @PixeIated 2 роки тому

    First question: the class
    Second: the homework
    Third: the test
    In all seriousness thank you it helped alot

  • @victordike4245
    @victordike4245 Рік тому +1

    this will really go a long way in me understanding it

  • @ritikjain6411
    @ritikjain6411 4 роки тому +2

    Thanks for making this logic so simple for uss❤️❤️

  • @crxmix7602
    @crxmix7602 4 роки тому +4

    3:47 don't get the last 2 lines and how did he use the absorption rule

    • @nyimdewan3353
      @nyimdewan3353 3 роки тому

      A'B' is common in both variables....So he took A'B' and left (C'+C)...

  • @aparnamishra1
    @aparnamishra1 4 роки тому +1

    Thankyou sir😊😊😊
    It helped me a lot !!
    Well explained ! ❤️❤️

  • @erastusshikongo5517
    @erastusshikongo5517 5 років тому +8

    thank you for this video, it really helped me a lot.

  • @muaazulhassan1721
    @muaazulhassan1721 4 роки тому +3

    very interesting, helped me a lot to clear my concepts, thank you, sir.

  • @hoswayh7163
    @hoswayh7163 5 років тому +6

    Thank you for making something that was difficult for me to understand, understand fully well now thanks to your lesson.
    thank you

  • @Ali_Alhakeem
    @Ali_Alhakeem 3 роки тому +2

    Thanks so much , this actually helped alot

  • @aritrapal4794
    @aritrapal4794 4 роки тому

    This is the 1st time I saw your video..... And I admit that your explanation is just awesome..... Enjoyed during your explanation.....

  • @SigmaSankalp
    @SigmaSankalp 3 роки тому

    thank u so much
    it will really help me in tommorrow's exam

  • @matthewsmith1571
    @matthewsmith1571 3 роки тому +3

    i love how my lecturer just expected people to be able to do this

    • @dillerandzach
      @dillerandzach 3 роки тому +1

      Here for the same reason brotha lol

  • @nates9105
    @nates9105 6 років тому +3

    Excellent demonstratation of Boolean, was a nice & quick refresher!

  • @Chaitanyakashyap24
    @Chaitanyakashyap24 3 роки тому +1

    AMAZING MAN SO HELPFUL .......GOOD

  • @Anonymously7886
    @Anonymously7886 3 роки тому

    I'm grateful to you sir, my utmost veneration to you. I've perceived well

  • @ennadakoppe
    @ennadakoppe 2 роки тому +1

    Thank you 😊❤️ i understand it very easily 😊

  • @jyotindrakarki3612
    @jyotindrakarki3612 5 років тому +4

    Thank you 😊
    Loved your explanation.

  • @jonathanadjei901
    @jonathanadjei901 6 років тому +7

    Thank you very much for this video.. really helpful

  • @Linda_Edelweiss
    @Linda_Edelweiss 8 місяців тому +2

    Imagine watching this video after your exam and then see that one of your exam questions was actually in this video 🙃

  • @ziad-cp4ci
    @ziad-cp4ci 3 роки тому +3

    In the first example. What if we decided to use the A+1=1 rule and apply it to A.C.(1)+Ā and we get A.C.(1)
    Then we will have AC as an answer
    Will that be correct???

  • @ratzax1120
    @ratzax1120 Рік тому

    Thank you very much great work😀😀

  • @yogendravishwakarma5592
    @yogendravishwakarma5592 4 роки тому +1

    Nice concept sir

  • @tougecorsa
    @tougecorsa 5 років тому +1

    Thanks dude, your video helped me a lot!

  • @uverpro3598
    @uverpro3598 4 роки тому +3

    This was an excellent exercise, thank you!

  • @diptimayeebiswal51
    @diptimayeebiswal51 2 роки тому +1

    Amazing Explanation... Thank you

  • @immanuelb.ascension3838
    @immanuelb.ascension3838 2 роки тому

    Wow, you made me understand this so easily

  • @HaloWolf102
    @HaloWolf102 2 роки тому

    3:43 So in this answer *Not A AND C*, where does the B go when you write a logic circuit? You just don't include it into the circuit diagram because it isn't important?
    Same thing for 9:00, would I leave D out of the circuit diagram?

    • @ENGRTUTOR
      @ENGRTUTOR  2 роки тому +1

      B doesnt connect to anything if the simplifed expression doesnt include that anymore. Same for D @9:00 mark.

  • @fine_8895
    @fine_8895 7 місяців тому

    Thanks a lot, this is very helpful for nut brainer like me

  • @batoulalsayyed1484
    @batoulalsayyed1484 5 років тому +2

    thank you it benefits me a lot while studying

  • @teachcomputer7318
    @teachcomputer7318 3 роки тому

    Thanks brother 😊 i from India

  • @ravichandrhelave2506
    @ravichandrhelave2506 3 роки тому

    You are very nice teacher 👏😊

  • @Cricketlover-or8fl
    @Cricketlover-or8fl 3 роки тому +1

    Thanks a lot sir after 3 hours my preboard exam will held 🤓

  • @Garlin93
    @Garlin93 Рік тому

    I follow you from Egypt

  • @chethanajanardhan5693
    @chethanajanardhan5693 5 років тому +2

    So helpful ❤❤❤😍😍😍tq sooooooooo much

  • @jm-po6bs
    @jm-po6bs 5 років тому +7

    Very helpful, thank you sir!

  • @PunisherQc
    @PunisherQc 2 роки тому

    Great example of Discrete Math course that i had, well explained

  • @mastermind_boyy
    @mastermind_boyy 5 років тому

    Nice explanation dude...keep it up..👍👍

  • @Jptoutant
    @Jptoutant 2 роки тому +1

    excellent exercises thanks

  • @krishanchaudhary8978
    @krishanchaudhary8978 3 роки тому +1

    Exam on this in CMPEN 270 at PSU thanks mate

  • @divyas2678
    @divyas2678 3 роки тому

    Thank you sooo much sir. I hope I can solve all problems from now, just practice...

  • @AHLEducation
    @AHLEducation Рік тому

    Nice explanation

  • @lenobeno7045
    @lenobeno7045 10 місяців тому

    absolute legend thank you soooooooooo much

  • @DijarSyla-eq8ko
    @DijarSyla-eq8ko 4 місяці тому

    thank you so much sir i really learned it well but can you tell me what does that dot mean between letters for example "A.B" ?

  • @stephensalatan777
    @stephensalatan777 9 місяців тому

    if the given is (A+C+D) (A+C+D') (A+C'+D)
    can I distribute (A+C+D) to (A+C+D') (A+C'+D) directly?

  • @youngblood0260
    @youngblood0260 4 роки тому +1

    Question, how is A + A̅B = A + B?
    Need elaboration, thanks.

    • @sidhhagang226
      @sidhhagang226 4 роки тому

      Redundancy Law

    • @gadgetboyplaysmc
      @gadgetboyplaysmc 4 роки тому

      (A+A')(A+B) -> Distributive Law
      (1)(A+B) -> Complement Rule
      A+B -> (Distributive)
      A+B is the final answer
      That's the OR Redundancy Law. I learned it here: ua-cam.com/video/kcekwNJRAHM/v-deo.html

    • @gadgetboyplaysmc
      @gadgetboyplaysmc 4 роки тому

      The video said it's Absorption Rule but
      it's actually Redundancy Rule:
      -So basically, you use Absorption for 3 terms(but 2 terms are same).
      ---->Like A+(B*A) = A
      -Redundancy for 3 terms(but 1 term is a complement of another).
      --->Like A+(B*A') = A+B

  • @rybak908
    @rybak908 5 років тому +2

    at 1:43 where does the c at the right go?

    • @bruh-lt7hb
      @bruh-lt7hb 5 років тому

      It is factored out as a common variable along with A from the terms: A.B.C and A.notB.C. Since you bring the A and C out of those terms the result is AC(B+notB)

    • @gadgetboyplaysmc
      @gadgetboyplaysmc 4 роки тому

      @@bruh-lt7hb
      I think it's because of the Idemponent Rule.
      A+A = A
      A*A = A
      In the example:
      C+C = C
      A+A = A
      I also wonder if the concept of Multiplication taking precedence over Addition even works with Boolean Algebra.

  • @tambaivan
    @tambaivan Рік тому +1

    so nice thanks

  • @urla.tejaswitaruneee2483
    @urla.tejaswitaruneee2483 5 років тому

    Excellent teaching sir
    Tnq so much sir

  • @joelessindi6679
    @joelessindi6679 2 роки тому

    Thanks for this. Lesson boy. Expert

  • @stevethompson7613
    @stevethompson7613 2 роки тому

    If you have D’(AB + B’) how does this get reduced

  • @V_ChessGuy
    @V_ChessGuy 2 місяці тому

    Thank you so much firstly, also just wondering: what level of education is this aimed at? Is it at GCSE (High school) or A-level(college) or university/degree? It was a bit challenging for me so that's why. I'm in GCSE (High school right now).

  • @kienothomas
    @kienothomas Рік тому

    how can we reach you for tutoring?

  • @danielteyehuago1633
    @danielteyehuago1633 Рік тому +1

    Thanks for sharing it with us

  • @Blackearbaiya
    @Blackearbaiya 3 роки тому +2

    ma teacher sent me here, he sent me to the right place!

  • @TwiStedTentom
    @TwiStedTentom 6 років тому

    So, can you start with any term, and use it a manipulate any other term?

  • @markdannielbgutierrez301
    @markdannielbgutierrez301 Рік тому

    from example number 3 what happened to the A.D

  • @zucamote2011
    @zucamote2011 4 роки тому

    Great job 👏👏👏

  • @user-onikiri
    @user-onikiri Рік тому

    How to simplify Not A * C + Not C * A? Thanks

  • @rykageee
    @rykageee 3 роки тому

    can someone explain to me why on the first problem letter B disappeared on the simplified expression? thanks

  • @osandasenarathne356
    @osandasenarathne356 4 роки тому +1

    Very helpful. Thanks

  • @nethmiminoshi9581
    @nethmiminoshi9581 2 роки тому

    It so helpful .Thank you!

  • @ritikjain6411
    @ritikjain6411 4 роки тому +1

    Bro u are awsmmm

  • @kuleniyehualashetmotuma
    @kuleniyehualashetmotuma Рік тому

    thanks very much I understand it easly

  • @dogriala1017
    @dogriala1017 2 роки тому +1

    Sir reply please.......
    In boolean expression(1+xy)=.........?

    • @ENGRTUTOR
      @ENGRTUTOR  2 роки тому

      1 (TRUE OR ANYTHING = TRUE)