1's complement and 2's complement | Signed Binary Numbers Explained

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  • @ALLABOUTELECTRONICS
    @ALLABOUTELECTRONICS  3 роки тому +11

    Timestamps:
    0:00 Introduction
    1:23 Unsigned Binary Numbers
    2:12 Signed Binary Numbers
    3:48 Sign Magnitude Representation
    6:16 1's Complement Representation
    10:08 2's Complement Representation
    For notes, check this link:
    www.allaboutelectronics.org/1s-complement-and-2s-complement-of-binary-numbers-signed-binary-number-representation/

    • @sambitkumarsahoo5191
      @sambitkumarsahoo5191 9 місяців тому

      Sir how can we get the 8 bit or any bit of any natural number.please sir tell quickly

    • @LittleDreamer150
      @LittleDreamer150 3 місяці тому +1

      Better explained than my lecturer
      You've earned a new subscriber.

  • @ayushgemini
    @ayushgemini 2 роки тому +23

    This channel always clear the doubts that any other can't. Thanks a lot

    • @orsg3781
      @orsg3781 Рік тому +1

      Yes bro so much ❤

  • @desertstormer04gg42
    @desertstormer04gg42 3 роки тому +11

    i honestly never understood this topic until now ! Thanks so much

  • @homosapiens.023
    @homosapiens.023 Рік тому +4

    I was converting -12 (Dec) into Binary and found a 32 bit answer. Then I took the last 8bit and converted it to decimal and the answer was 244😂. Our college book didn't cleared the concept of 1's compliment & 2's compliment. That's why that calculator operation took me in a thought loop.
    Then I found this video & it took me out of that loop❤. Now this concept is clear to me. Thank you❤

  • @HariRohith
    @HariRohith Рік тому +12

    @13:26 the subtration of 2^8 i.e 256 and 34 should result in 222(011011110) but your subtraction gives only 196(11000100) as a result . I would like you to change it for others who can understand now better!

  • @shafiulAlamShafi
    @shafiulAlamShafi 2 місяці тому +1

    Excellent teaching style

  • @shiddhantgaming7958
    @shiddhantgaming7958 Рік тому +19

    its really sad with such content this channel is underrated

  • @SakshiAmbhore-yc6py
    @SakshiAmbhore-yc6py Рік тому +1

    Shortest and simplest way of teaching

  • @mohamadzaytoun4566
    @mohamadzaytoun4566 2 роки тому +1

    thanks bro , you explain it better than my teacher

  • @nidhinpgdi4376
    @nidhinpgdi4376 Місяць тому

    bro i have exam in 2 weeks idk anything about binary thanks to you atleast i know half adder and full adder

  • @rahulgarai4822
    @rahulgarai4822 Рік тому +3

    Great explanation! Liked it a lot...🤗🧠

  • @allbd777
    @allbd777 Рік тому +1

    Many many thanks from Bangladesh ❤️❤️this video helped me much.

  • @amanarya3748
    @amanarya3748 2 роки тому +3

    Remarkable work please keep making great explanation videos.

  • @kainaatmakhani6550
    @kainaatmakhani6550 2 роки тому +2

    Great job. Nice explanations and script.

  • @saisudheesh
    @saisudheesh 2 роки тому +3

    Simply awesome explanation ❤️

  • @dreamjourney186
    @dreamjourney186 9 місяців тому +1

    You are more underrated than saiman says😊

  • @alicemanickam1324
    @alicemanickam1324 2 роки тому +4

    In 4:23 can't understand the magnitude of 34 in 8bit 00110100

  • @whythishappen
    @whythishappen Рік тому +1

    Good explanation and thank you

  • @anitalayal9171
    @anitalayal9171 Рік тому +1

    the best video on tthis topic

  • @sreerajchundayil588
    @sreerajchundayil588 Рік тому

    Short and clear video. I was confused with other videos and came here and it explained very well.

  • @nasirxshah
    @nasirxshah 2 роки тому +1

    thank you so much

  • @vineetsawant9074
    @vineetsawant9074 2 роки тому

    Great job.. nice explanations and script

  • @Asifur_Rahman
    @Asifur_Rahman 2 роки тому +4

    In 13:01, (2^8 - 34) = (256 - 34) = 11011110 but in your calculation 11000100, how can it be? Can you please explain?

  • @mugunthan2357
    @mugunthan2357 2 роки тому

    omg well understood like never before , thank u so much
    #300th like

  • @studypoints14
    @studypoints14 2 роки тому +1

    Nice work sir

  • @muhammadwaleed1526
    @muhammadwaleed1526 Місяць тому

    How can there be representation of decimal -8 in 2's complement when it doesn't exist in signed magnitude or even 1's complement for 4-bit binary?

  • @Adityafait
    @Adityafait Рік тому

    Thanks you are the best

  • @divyajonnalagadda6783
    @divyajonnalagadda6783 8 місяців тому

    thank you sir helpful

  • @Abdullahkhan-ks2py
    @Abdullahkhan-ks2py 3 роки тому +1

    Nicely explained!! Thanks.

  • @karanvedi6779
    @karanvedi6779 2 роки тому +1

    Very helpfull

  • @ayushgemini
    @ayushgemini 2 роки тому +2

    To represent signed Binary no. we use MSB bit to store 0 or 1.
    But if we want to represent an octal number say (-24)8 in signed form. Then in that case MSB will store what numbers to denote +ve and -ve numbers ?
    0 & 7. I guess. Am I right?

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  2 роки тому

      The digital circuits and computers works on binary number system. And therefore to represent singed numbers, the MSB is used for sign representation. But for any other number system, simply one can put + or minus sign. When computer is dealing with such numbers (other than binary numbers), then first they are converted into binary.
      And the sign is also taken into account.

  • @bishal3527
    @bishal3527 5 місяців тому

    5:25 , the range would be { -2^(n-1)} to {2^(n-1) - 1}

  • @arnavbawdekar3284
    @arnavbawdekar3284 Рік тому +2

    I have a question though, how did you find the 2's complement form of -8 in 4bit, in the first place?

  • @minecraftcookie2929
    @minecraftcookie2929 5 місяців тому

    good video

  • @shashanksharma1498
    @shashanksharma1498 9 місяців тому

    A very good video. Only 1 error. 2^8 representation in 8 bits is not possible. hence you made 9 dashes. Your 2s complement formula should be --> (2^n -1) - N +1

  • @ececse
    @ececse Рік тому

    thankyou so much sir🙏

  • @OneSpin2024
    @OneSpin2024 Рік тому +1

    thanks sarge

  • @poojashah6183
    @poojashah6183 3 роки тому +1

    Best explanation 👍🏻

  • @mayurshah9131
    @mayurshah9131 3 роки тому +1

    YOU ARE GENIUS 👍👍

  • @sudipbiswas4718
    @sudipbiswas4718 2 місяці тому

    13:24 sir please clearly explain the subtraction
    I think there's some mistake 🙏

  • @shermaineng9503
    @shermaineng9503 5 місяців тому

    why does the 2nd and 3rd method for 2s complement of 34 produce different answers of 11011110 and 11000100?

  • @odiavloggersuraj1188
    @odiavloggersuraj1188 2 роки тому

    It's amazing 😍

  • @iharshgarg
    @iharshgarg Рік тому

    loved it

  • @nishant0072008
    @nishant0072008 Рік тому

    Why the table shown in magnitude form section has different representations.+7 - 0111 and -7 1000.Where as you explained earlier that in magnitude form we just to inverse the sign bit and copy all other bits as it is.

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  Рік тому +1

      The table shown is for 1s complement form. The earlier representation which you are talking about is sign magnitude form. In that representation, the MSB is a sign bit. I hope, it will clear your doubt.

  • @owaisahmed3897
    @owaisahmed3897 Рік тому

    Please check the 3rd method,it's showing different results.

  • @Simran-qu5ny
    @Simran-qu5ny 2 роки тому +1

    Which book is best for electrical b.sc.

  • @nishanth6886
    @nishanth6886 Рік тому

    Can you give the equivalent decimal value of the given 2’s Complement number (1110.1)2.

  • @anshuiyakarki261
    @anshuiyakarki261 2 дні тому

    you said for positive number it's twos complement is it's binary form but again later u said twos complement of +32 is -32 that contradicts isn't the twos complement of +32 +32 in binary form itself

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  2 дні тому +1

      Here the earlier, I was refereeing to the representation. For positive numbers, the 2's complement representation is same as typical binary number representation. (Of course, but here the MSB is a sign bit) . But in the later case, I was referring to performing the 2s complement operation on the positive number. So, when you have a negative number let's say -32, then you can find its 2's complement representation by performing the 2's complement operation on +32. I hope, it will clear your doubt. If you still have any doubt then let me know here.

  • @khadija_nawaz
    @khadija_nawaz 2 роки тому

    Do we need separate hardware when we are using 1st complimemt and 2nd complimemt encoding? Plzz guide

  • @rubeesoni4122
    @rubeesoni4122 7 місяців тому

    what is twos compliment of negative zero

  • @vaibhavbhasin1221
    @vaibhavbhasin1221 6 місяців тому

    first you say -34 in binary is = 10100010
    then next,
    you said '11011101 this represents -34 in 1s complement form' at 7:06.
    also , it is also called '1s complement of +34' . How can these two diff things be same ?

    • @vaibhavbhasin1221
      @vaibhavbhasin1221 6 місяців тому

      Got it, basically, you see, 1s complement of a positive no. is the same as negative number representation.

  • @Syed_Miraz_Ali
    @Syed_Miraz_Ali Рік тому +1

    ALL ABOUT ELECTRONICS
    ALL ABOUT ELECTRONICS

  • @chandranidassarma4732
    @chandranidassarma4732 Рік тому

    What to do with the carry didgit in 2's complement?

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  Рік тому

      You mean in 2s complement addition? The carry in 2s complement addition is ignored.
      For more info, please check this video: ua-cam.com/video/brM0tpBAx8U/v-deo.html

  • @shizotaiko6137
    @shizotaiko6137 2 роки тому

    Svp⭐️ si on’a le nombre signé suivant représenté sur 8 bits 10010111 est-ce que sa valeur en décimal sera -150 ou bien -23 ,et merci beaucoup

  • @rollicconducto1550
    @rollicconducto1550 Рік тому

    Isnt't there an error at 13:10 with the subtraction part?

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  Рік тому +1

      Yes, there is a mistake in the representation . It should be 11011110.

  • @shizotaiko6137
    @shizotaiko6137 2 роки тому

    If we have a binary signed number which is negatif in which form it could be represented ❣️

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  2 роки тому +1

      There are different ways of representation. It can be represented in either of 1s or 2s complement form.

    • @shizotaiko6137
      @shizotaiko6137 2 роки тому

      @@ALLABOUTELECTRONICS it could be also represented by signed magnitude 💛

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  2 роки тому +1

      @@shizotaiko6137 Yes

  • @KingDee23-446
    @KingDee23-446 2 місяці тому

    n bit range was wrong its ; -(2^(n-1) to (2^(n-1))-1

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  2 місяці тому +1

      The range that you are mentioning is true for 2's complement form, for 1s complement, and sign-magnitude form, the range is from, -(2^(n-1)-1) to (2^(n-1))-1

  • @nishupanchal4294
    @nishupanchal4294 3 роки тому

    Sir, Please come on classification of binary codes and k-maps.

  • @adityasrivastava9195
    @adityasrivastava9195 2 роки тому

    Bhai -11 ka 2s complement form 11110101 hoga na ?

  • @tenzindorjee7689
    @tenzindorjee7689 3 роки тому

    Thank you so s mucjni

  • @mb083skfaheem9
    @mb083skfaheem9 3 роки тому

    Lol I completed this exam last week and now I am seeing something familiar

  • @styrishrodrigues
    @styrishrodrigues 3 роки тому

    My exam is postponed due to increase in Corona cases

  • @ayushlawrence281
    @ayushlawrence281 11 місяців тому

    You don't even know how to subtract... the result is wrong here 12:57