Binary Addition and Subtraction With Negative Numbers, 2's Complements & Signed Magnitude

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  • เผยแพร่เมื่อ 17 พ.ย. 2024

ความคิดเห็น • 777

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  11 หลายเดือนก่อน +21

    Binary - Free Reference Sheet: bit.ly/3CkOHhB
    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

    • @femijames3389
      @femijames3389 9 หลายเดือนก่อน +1

      Please can anyone give the reason why he use 5bit for the -7 in the sign magnitude😢🙏🏼.
      I don't get that aspect.

    • @sylviabryan3164
      @sylviabryan3164 6 หลายเดือนก่อน

      The question may ask for that​@@femijames3389

    • @Imperator_27
      @Imperator_27 4 หลายเดือนก่อน

      ​@@femijames3389 Because he wanted to keep the same number of bits also for -12 and -15 in the demonstration. So he chose 5 bit and not 4 bit

  • @littlebuster07
    @littlebuster07 4 ปีที่แล้ว +1106

    You are God's gift to students with professors who either don't speak good english and/or they don't teach the subject this well. I feel like my time in class is a waste of time and you are my real teacher. Bless you, brother

    • @bobross3880
      @bobross3880 2 ปีที่แล้ว +16

      Unfair comparison. It’s a thought out, planned video. Giving lectures in real time when people have questions and/or don’t get it and can’t pause to think is nothing like a video.

    • @littlebuster07
      @littlebuster07 2 ปีที่แล้ว +42

      @@bobross3880 🧢

    • @gingee_8186
      @gingee_8186 2 ปีที่แล้ว +9

      My college teacher is just an arse (hard r) so I don’t ask him any questions and go online to learn.

    • @masonp1599
      @masonp1599 2 ปีที่แล้ว +1

      Ditto

    • @scared3267
      @scared3267 2 ปีที่แล้ว +2

      @@gingee_8186 same here 🤐🤐

  • @latedeveloper7836
    @latedeveloper7836 3 ปีที่แล้ว +786

    0:30 Worked example 1 - Writing -6 as a number using the signed magnitude method (4 bit binary)
    1:55 Worked example 2 - Writing -7, -12, -15 using the signed magnitude method (5 bit binary)
    2:43 Converting +7 in binary to -7
    6:00 Expressing negative numbers using the 2's complement method
    7:25 How to check your negative binary calculations in 2's complement
    7:48 Worked example 3: -12 as a binary 2's complement number
    9:50 Binary subtraction 2 ways - subtraction and 2's complement
    12:05 2's Complement Subtraction
    12:55 Changing +25 into -25 using the 2's complement method
    15:30 What to do with a carry over / overflow number
    16:34 Worked example 4: Subtracting 2 binary numbers
    18:45 What to do when you can't borrow
    19:52 Subtracting with the 2's Complement Method (by adding!)

  • @keivanipchihagh2115
    @keivanipchihagh2115 4 ปีที่แล้ว +382

    This is the equivalent to the 3-hour lecture my professor gave. Great Job!

    • @foreverseethe
      @foreverseethe 3 ปีที่แล้ว +11

      You gotta be doing something wrong bro. Lectures, professors and 3 hours sounds like money. Money in the wind.

    • @DarcMagikian
      @DarcMagikian 2 ปีที่แล้ว +28

      @@foreverseethe Unfortunately learning from TH-cam doesn't get you a degree. So even if that money is in the wind, it is necessary to get a degree.

    • @egyptianplanner
      @egyptianplanner 2 ปีที่แล้ว

      The same without understanding alas ..untill I find this video

    • @ethanholmes5677
      @ethanholmes5677 2 ปีที่แล้ว +3

      Same for me. 2 hours condensed into a half hour. Watched at 2x speed, it becomes 15 minutes.

    • @kithenry
      @kithenry ปีที่แล้ว

      Keivan my boy, i taught and you said you understood.

  • @learntoearn6612
    @learntoearn6612 5 ปีที่แล้ว +115

    I persuaded a lot of my colleagues whenever you search TH-cam for any video and find a video from channel named *_ORGANIC CHEMISTRY TUTOR_* watch that video first I always recommend that now since then I passed calculus 1, calculus 2 and now three and hoping to pass through him *_ORGANIC CHEMISTRY TUTOR_*
    Please we will always comments on your videos but you won our hearts sir am student where professors are teaching in Arabic but who saved me this young man of this channel
    *_Jah bless 🙏🙏🙏🙏🙏_*

    • @flimflam6652
      @flimflam6652 4 ปีที่แล้ว

      JAWEH TAKE THE WHEEL

  • @GamerTheTurtle
    @GamerTheTurtle 4 ปีที่แล้ว +1453

    How do you know literally every subject but I forget basic calculus after Christmas break

    • @flimflam6652
      @flimflam6652 4 ปีที่แล้ว +87

      Doing the pre-research before making a video and an inherently good memory would likely do it

    • @DearHRS
      @DearHRS 4 ปีที่แล้ว +24

      there you go now you have (1000000)2 numbers of likes :(11)2

    • @brandonhughes645
      @brandonhughes645 4 ปีที่แล้ว +19

      Years of intense study after high school does the job. And revision before the video.

    • @jean-marcndongekouaga5267
      @jean-marcndongekouaga5267 4 ปีที่แล้ว +20

      interest is probably the answer

    • @MDMD007
      @MDMD007 4 ปีที่แล้ว +8

      tutor for a reason

  • @user-du9zt5rp5x
    @user-du9zt5rp5x 3 ปีที่แล้ว +31

    Last year I studied organic chemistry from you, 1 week ago I studied physics from you, yesterday I studied math from you and now this. How do you know every subject?

  • @mariaanica8412
    @mariaanica8412 4 ปีที่แล้ว +31

    HAPPY WORLD TEACHER'S DAY ! ❤️

  • @TSanya98
    @TSanya98 2 ปีที่แล้ว +3

    I solved a past paper question using your method of calculation it’s 3:46 am and I do pray I ace my exams thank you so so much

  • @Nic-of1sr
    @Nic-of1sr 4 ปีที่แล้ว +61

    I absolutely adore you! You are a grade saver. You have helped me understand so many subjects/concepts. Thank you! I hope you continue to add videos to your channel.

    • @femijames3389
      @femijames3389 9 หลายเดือนก่อน

      Please can anyone give the reason why he use 5bit for the -7 in the sign magnitude😢🙏🏼.
      I don't get that aspect.

  • @mikatch8067
    @mikatch8067 3 ปีที่แล้ว +11

    I have been subscribing u since 2016, and I’ve always wondered how you’re able to master all of the triple sciences and the basic ict/cs knowledge. It’s amazing.

  • @ninminion
    @ninminion 4 ปีที่แล้ว +18

    As always, you have a great way of breaking the concept down and explaining it so that it just seems like common sense. I recommend you to everyone I meet. You are my go-to guy for everything math, science, or logic related. Great job... again!!!

  • @smoshfann24
    @smoshfann24 3 ปีที่แล้ว +10

    A helpful tip for finding the 2's compliment: flipping all of the bits and then adding 1 is the same as starting from the rightmost 1 and flipping all the bits higher than that.

    • @Boufonamong
      @Boufonamong 9 หลายเดือนก่อน

      Thank you

  • @zibusisondlovu5577
    @zibusisondlovu5577 3 ปีที่แล้ว

    You can search youtube all you like but will never find better explanations than this guy on so many concept. We pass because of you!!

  • @sukesukieatmyheart
    @sukesukieatmyheart 4 ปีที่แล้ว +12

    I really appreciate your teaching, cause it helps me go through every subject that I don't understand. And thank you very much for teach me.

  • @hreigi14
    @hreigi14 2 ปีที่แล้ว +5

    The OG! Chemistry tutor carried me through my bio degree now he's carrying through my EE degree as well :') Thank you

  • @ianobi2842
    @ianobi2842 5 ปีที่แล้ว +14

    thanks to u, i did great improve at the night right before the final exam. love u so much.

  • @brendanbuckley13
    @brendanbuckley13 4 ปีที่แล้ว +175

    This was explained wayyyy better than how my professor did. Thank you so much lol

    • @AMF884
      @AMF884 4 ปีที่แล้ว +2

      i was thinking the same thing , those so called Pro.Dr. they tryna make my Life harder than what it already is !!!

    • @User-ow7rn
      @User-ow7rn 3 ปีที่แล้ว

      really? if you understand very well then help me with this.
      ////
      i did not understand what you wanna prove. at 3:26 you said -ve of +ve number can be done just by replacing leftmost 0 as 1 but at 13:35,you are saying that leftmost value of 1 as -64 and calculating other 1s as resmebling bits in positive, but if we apply that rule at 3:26 for -7 (1 0 1 1 1) then we will be -16+4+2+1=-9 instead of -7

    • @ahmedraza4410
      @ahmedraza4410 2 ปีที่แล้ว

      @@User-ow7rn SHHHHHHHHHHHH

    • @eccrow7419
      @eccrow7419 2 ปีที่แล้ว +3

      @@User-ow7rn its been 11month but im still going to reply it anyway. These two that you stated are different thing. Binary at 3:26 is signed magnitude whereas binary at 13:35 is 2's complement.

    • @adithyadavidm
      @adithyadavidm ปีที่แล้ว

      ​@@eccrow7419glad you responded...that's right both are different representation

  • @lyons2547
    @lyons2547 2 ปีที่แล้ว +1

    BEST TH-cam TEACHER EVER...God bless you. Wherever you are.... you’re really making computer science easier for me 💕💯🔥🔥🔥

  • @learntoearn6612
    @learntoearn6612 5 ปีที่แล้ว +58

    Please sir make for us a Fourier series video
    You're our teacher

    • @MTMT_HITHESHNAIK
      @MTMT_HITHESHNAIK 3 ปีที่แล้ว

      and also laplace transform and its inverse. please

  • @hamzahhamdoon5453
    @hamzahhamdoon5453 ปีที่แล้ว

    i missed my 2's compliment and sign nd magnitude lesson and i was strugglin so much. this guy saved my life

  • @belalkasem4140
    @belalkasem4140 3 ปีที่แล้ว +6

    Take my heart,man
    You are great! ❤️
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  • @Chainless_Slave7
    @Chainless_Slave7 2 ปีที่แล้ว +49

    If you need to convert a binary number to its two’s complement form, you can use the
    method indicated by the video but there is a quicker method. For this you start at the
    least significant bit and move left ignoring any zeros up to the first 1, which you also ignore.
    Change any remaining bits from 0 to 1 or from 1 to 0.
    For example, expressing the number 10100100 in two’s complement form leaves the right-hand 100 unchanged, then the remaining 10100 changes to 01011, so the result is 01011100.
    ------------------------------
    Edit:
    For negative numbers,
    Convert the positive version of the number to 2's complement and then, just add a "1" to the right of the most significant bit.
    Just adding 1 converts a two's complement to negative. DONE!
    Example:
    2's complement of 12 ----> 0100
    2"s complement of -12 -----> 10100
    See there is an extra 1 at the right end.
    -------------------------------------------
    Extra note:
    While 2's complement of 12 is 0100, it can be written as 0000000000100, u can have many 0s at the right end
    But for 2's complement of -12 is 10100, you cannot write it as 0010100, u gotta write it like 1111110100.
    See what I did there?
    1 is the default right end of negative binary numbers,
    0 is the default right end of positive binary numbers
    ( talking in terms of two's complement)

    • @andreamazzai1969
      @andreamazzai1969 ปีที่แล้ว +5

      Thank you, great trick

    • @aadityapradhan5694
      @aadityapradhan5694 11 หลายเดือนก่อน +1

      I might me wrong but this trick may not always work, like for example -12
      12 in binary 1100
      using the trick it would be 0100 but the actual 2's complement would be 10100 which would be the result using this trick if you write 12 as 01100.

    • @Chainless_Slave7
      @Chainless_Slave7 11 หลายเดือนก่อน +1

      @@aadityapradhan5694 Well, same process for negative numbers but you add a 1 to the right end of two's complement of 12. Thanks, I have now added this step for negative numbers to my original comment

  • @imahopeime509
    @imahopeime509 4 ปีที่แล้ว +8

    This tutor should be inducted into the hall of fame

  • @teatea_.3801
    @teatea_.3801 13 วันที่ผ่านมา

    Your videos helped me understand all of number system in a day , absolutely amazing work man.Couldn't thank you enough.

  • @AmahGivenz
    @AmahGivenz 6 หลายเดือนก่อน +2

    This video has transformed my understanding in just 25 minutes. Thanks alot😊

  • @kev.j.goodwin8612
    @kev.j.goodwin8612 ปีที่แล้ว

    I wish I'd had you as a maths teacher at school in the early 1970s. Your explanations are great for those of us who are not natural mathematicians - wasted so much time with 'teachers' who really couldn't put the subject across.

  • @grawlix4419
    @grawlix4419 2 ปีที่แล้ว +1

    I cannot even express how much this channel has helped me...

  • @aribakhalil3195
    @aribakhalil3195 2 หลายเดือนก่อน +1

    this dude explained in 20 mins what my prof couldn't in 2 hours

  • @rimjhimsingh703
    @rimjhimsingh703 3 ปีที่แล้ว +19

    How do you know 6 is 4 bit and 7 is 5 bit ? Like how do you decide which number to replace in signed magnitude method?

  • @imaaaan
    @imaaaan 3 ปีที่แล้ว +2

    Thank you so much. My teacher didn't explain everything clearly like you did and I was so confused but you saved me 😪

  • @drunkboi5887
    @drunkboi5887 4 ปีที่แล้ว +2

    dude u r a god sent, thanks to you i can pass my infrastructure classes in uni

  • @tinashelionelchenyika5612
    @tinashelionelchenyika5612 2 ปีที่แล้ว +1

    Thank you so much kind sir l have never got a chance to understand this concept until today. May God bless you with more knowledge

  • @jasmencolinares8071
    @jasmencolinares8071 2 ปีที่แล้ว

    Just want to say thank you very much for your videos. I learned a lot. Our instructor didn't bother to discuss this topic to us. You're an angel sent from heaven 😊

  • @charpad6690
    @charpad6690 3 ปีที่แล้ว +2

    Thank you for the info at 9:38; I could not understand how to do -7 +(-5) in 2s compliment until you showed that you just do the sign bit (-16) + all the ones.

  • @haddachannel6228
    @haddachannel6228 2 ปีที่แล้ว

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  • @johndent8653
    @johndent8653 ปีที่แล้ว

    I have taken multiple classes dealing with binary arithmetic and this provided me with a better understanding about it thank you so much

  • @oceanmoyo3966
    @oceanmoyo3966 4 ปีที่แล้ว +1

    chaaai you are heavenly sent what my college lecturers couldn't explain in two weeks ,you finish in less than 30 mins ,thank you so much,i have an exam tomorrow and i know i have passed...please make tutorials on mechanics as well especially circular motion

    • @veedjohnson
      @veedjohnson 4 ปีที่แล้ว

      My Naija bro😏

  • @kevinochola3984
    @kevinochola3984 5 หลายเดือนก่อน

    You are a gem ,God sent ,my professor could not explain for me this to understand thank you so much

  • @cordelldev
    @cordelldev 3 ปีที่แล้ว +5

    Thank you once again, you explained this subject more clearly than my CS professor!

  • @Dukebozo
    @Dukebozo 3 ปีที่แล้ว +1

    You’re gonna be a legend we will speak about you how you got us through school forever

  • @mohammadahnafhuq9364
    @mohammadahnafhuq9364 2 ปีที่แล้ว +5

    Nice Job! You made two's complement way easier than the way my teacher taught me :)

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    @yogitanaulakha4603 3 ปีที่แล้ว +1

    A legend comes on youtube and saves everyone from failing.
    I owe you, my life

  • @mahmoudwahman8110
    @mahmoudwahman8110 4 ปีที่แล้ว

    from eygpt faculty of computer and information ..... every hard time in it you are with me thank you

  • @arahani2409
    @arahani2409 4 ปีที่แล้ว

    you help me a lot right now, my lecture just teach me using slide and the other day the lecturer give me exercise, its my first time learn sign magnitud,two's complement, i dont understand because the lecturer dont do some handwrite on how to do this, just show the slide make me dont know how to do it, and cant imagine how to calculate it and make me really stress......thank you so much for helping me alot!!!!!!!!

  • @lakewobegonesbest8725
    @lakewobegonesbest8725 10 หลายเดือนก่อน

    No matter what math I look up, you have a great video for it! Thank you!

  • @samanthapennington4232
    @samanthapennington4232 7 หลายเดือนก่อน

    This is brilliant. I was teaching this and then watched your video and when we got to the -8 + 1 = -7 and -16 + 4 = -12 I was OMG this much easier than the way I was trying to teach it.

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    @arnavajitbordavekar5071 2 ปีที่แล้ว +1

    MAN'S A LIFE SAVER, LOVE FROM MUMBAI

  • @ArshdeepSingh42108
    @ArshdeepSingh42108 ปีที่แล้ว +1

    Thank you for explaining the topic in an easy way!

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    @realknight9562 3 ปีที่แล้ว +6

    I love this channel. I don't know how you've been able to help me calc 1-2 ( I think you're still adding calc 3 stuff), and physics, and biology, and now even my CS class!

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    @vedantpatel2273 4 ปีที่แล้ว +1

    I read my computer text book but it was useless. You have really helped me this topic.

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    @landonscott4347 5 ปีที่แล้ว +7

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    @paul8920 2 ปีที่แล้ว

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    @kaberaclapton783 3 ปีที่แล้ว

    Only God knows how much i appreciate these videos!!! thanks!

  • @aries3690
    @aries3690 3 ปีที่แล้ว +1

    Thank you so much! Your examples finally helped me understand how the first bit form the right is the least significant bit! It's the carry!!!

  • @asherb5134
    @asherb5134 3 ปีที่แล้ว +1

    this clarified everything I had difficulties with this topic.thanks !

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    @ricardobarnes9232 11 หลายเดือนก่อน

    How did you learn all this man? This guy knows everything

  • @triplet8248
    @triplet8248 9 หลายเดือนก่อน

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    Then again AS(2023) you still made me pass
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    Im still counting on you br❤

  • @anastasiamartinez9526
    @anastasiamartinez9526 4 ปีที่แล้ว +1

    Dude thank you!! You are the first person who explained why the twos complement makes it a negative number!!!! Very happy girl thanks!!!!!!!!

  • @iambored.k.
    @iambored.k. 5 ปีที่แล้ว +28

    I absolutely love this channel! It's so informative and the way you teach is so relaxing. Amazing work! Please never stop making videos!

  • @davidnguyen7785
    @davidnguyen7785 2 ปีที่แล้ว

    Thankyou so much for explaining this. was watching my uni lectures and they didnt go that in depth but now i fully understand how it works

  • @cprox1000
    @cprox1000 2 ปีที่แล้ว +1

    this dude is literally getting me through my stem degree

  • @ajiboladamilola4311
    @ajiboladamilola4311 ปีที่แล้ว

    I had been looking for the Mr chemistry video on the 2's complement. I'm so happy I know it so well now.

  • @theburntwaffle7390
    @theburntwaffle7390 3 ปีที่แล้ว +1

    Thank you so much. This really helped me understand my class better.

  • @SakatzuCat
    @SakatzuCat 2 ปีที่แล้ว +1

    Oh my god when I understood the 2's complement.. You seriously are a lifesaver, thank you so much!

  • @revanthjayakumarkannan137
    @revanthjayakumarkannan137 ปีที่แล้ว

    i spent 6 god damn hours listening to my teacher rant on and on about 2's compliment for 2 hours and 40 minutes and this guy though me this stuff in like less that half hour.

  • @kekoHere0610
    @kekoHere0610 3 ปีที่แล้ว +1

    Thanks a lot. why can't our professors teach us this well. Thank you .

  • @Benbeckmann3739
    @Benbeckmann3739 ปีที่แล้ว

    God bless you bro you've been helping me prepare for exam a lot

  • @ramanrazdan5894
    @ramanrazdan5894 5 ปีที่แล้ว +3

    you teach me better than my teachers do! Thank you soo much!

  • @kobrarahmani8379
    @kobrarahmani8379 ปีที่แล้ว

    thank u sir for ur nice explianation. It is 2023 and still watching ur videos.❤❤

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    @vidu6834 3 ปีที่แล้ว

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  • @AbhishekModak-zw7fh
    @AbhishekModak-zw7fh 3 ปีที่แล้ว +1

    Explained atleast a hundred times better than my teacher.

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    @simonvutov7575 หลายเดือนก่อน +1

    What is thijs guy learning in uni? He know absolutly everything. Chemistry, physics, math, computer science.

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    Thank You! Keep Going, learnt a lot ....................studying at Computer science faculty.

  • @khonzaizzati4836
    @khonzaizzati4836 4 ปีที่แล้ว +2

    oh my, thank u so much this truly help me a lot. it was crystal clear and super easy to understand, I couldn't be more grateful

  • @CarlC9898
    @CarlC9898 4 ปีที่แล้ว +12

    Awesome video, very helpful! I'm studying these concepts over my winter break because I have to take a class next semester that starts with this material!

  • @rajveerslife1923
    @rajveerslife1923 ปีที่แล้ว

    thankyou very much sir ..... i missed this topic in my classes .... and i watched ao many videos .... bt at the end of those videos i left alone with so many question ..... bt this one cleared out all my doubt about the topic ..... thank you very much

  • @mirzapurrailways007
    @mirzapurrailways007 3 ปีที่แล้ว

    bahut hi badhiya samjhaye hai aap to
    thanks to you for clearing my doubts👌👌👍👍

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    @jackwho6085 4 ปีที่แล้ว +1

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    @bhavana1186 9 หลายเดือนก่อน

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  • @VishnuprabhuR
    @VishnuprabhuR ปีที่แล้ว

    This was the best video for bitwise operation. Thanks Bro.

  • @desodenis
    @desodenis ปีที่แล้ว

    if it werent u, sir, i would have failed all my exams you are saving me while my actual teacher asked me why I even chose my major... thank u sir

  • @yawcoder
    @yawcoder 3 หลายเดือนก่อน

    This guy makes me feel like I don't need to attend lectures anymore. He explains my professors 2 hour lecture in just a few minutes and I even understand better than that of my professor.

  • @amardeepvishu7523
    @amardeepvishu7523 ปีที่แล้ว

    You are my GPA saver my friend. Thank you very much

  • @tuweijacklinechemutai6282
    @tuweijacklinechemutai6282 ปีที่แล้ว

    The best professor I know, thank you

  • @devrajparida828
    @devrajparida828 4 ปีที่แล้ว +1

    Man.. Thanks a lot. I don't usually comment on videos but the way you explained is sooo Awesome that I understood at once and I couldn't stop myself from appraising your work. Thanks a lot again... Keep posting such videos. It really helps a lot.

  • @ProjectF
    @ProjectF 4 ปีที่แล้ว +1

    This thing just f'ed up my basic maths.. 🤯

  • @abhivaryakumar3107
    @abhivaryakumar3107 2 ปีที่แล้ว

    I have unimaginable respect for this man
    Like bro
    Thank you
    From the bottom of my heart

  • @nathanreed2087
    @nathanreed2087 ปีที่แล้ว

    7:18 I was so confused as to why me negative results were so huge. But now that you mention the most significant bit being negative and all the rest positive, they add up to the correct decimal result, so I haven’t been doing it wrong

  • @NicoDeInfluencer
    @NicoDeInfluencer 11 หลายเดือนก่อน

    How I wish u could replace my math teacher. You have really helped me so much; Thank u 🙏🙏🙏

  • @TechLord79
    @TechLord79 2 ปีที่แล้ว

    Great video! Now it clicked why they say in floating-point that for negative numbers, leading 1s are like leading 0s for positive numbers - they're superfluous! As a 6-bit number 10 0100 is also -28!!!

  • @shishirthapa4167
    @shishirthapa4167 2 ปีที่แล้ว +1

    thanks for your good explanation..well done keep it up bro god bless you

  • @Muhammad_Waleed
    @Muhammad_Waleed ปีที่แล้ว

    7:15 Can't explain how awesome this technique feels🔥
    Maybe because it's 5:21 in the Morning

  • @demetriusdemarcusbartholom8063
    @demetriusdemarcusbartholom8063 4 ปีที่แล้ว +1

    Thank you, studying this in ECE 210

  • @yeabsirayabu-jj3tf
    @yeabsirayabu-jj3tf 10 หลายเดือนก่อน

    You are expert in all kinds of subject. That is kinda amazing

  • @allenmiller5617
    @allenmiller5617 ปีที่แล้ว

    Your teaching helps me a lot sir

  • @znoran
    @znoran 2 ปีที่แล้ว +1

    This is very good 👍 100% explanations with all the information needed

  • @begaliaslonov3429
    @begaliaslonov3429 3 ปีที่แล้ว +1

    Thank you - it was clear and straightforward to understand.

  • @charlx2333
    @charlx2333 2 ปีที่แล้ว

    Thank you. 6 weeks of school and I'm already struggling with ICT😖