4-bit Adder and Subtractor Circuit Explained

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  • Опубликовано: 10 июл 2024
  • In this video, the 4-bit adder/ subtractor circuit is explained in detail.
    The following topics are covered in the video:
    0:00 Introduction
    0:30 4-bit Subtractor Circuit (using Full Subtractors)
    3:23 4-bit Subtraction using adder circuit
    9:29 4-bit Adder / Subtractor circuit
    For more information, check these videos:
    1) Half Adder and Full adder
    • Half Adder and Full Ad...
    2) Ripple Carry Adder
    • Ripple Carry Adder Exp...
    3) Half Subtractor and Full Subtractor
    • Half Subtractor and Fu...
    4-bit Adder / Subtractor Circuit:
    In this video, the circuit for the 4-bit adder and subtractor is explained. By watching this video, you will learn how to design a logic circuit that can perform both addition and subtraction.
    This video will be helpful to all the students of science and engineering in understanding the design of a 4-bit adder/ subtractor circuit.
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    #DigitalElectronics
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    Music Credit: www.bensound.com
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Комментарии • 101

  • @ALLABOUTELECTRONICS
    @ALLABOUTELECTRONICS  2 года назад +14

    For more information, check these related videos on Adder and Subtractor:
    1) Half Adder and Full adder
    ruclips.net/video/5XbRIVWFRIw/видео.html
    2) Ripple Carry Adder
    ruclips.net/video/b70ZQwci5sY/видео.html
    3) Half Subtractor and Full Subtractor
    ruclips.net/video/lqN8xLTtdaA/видео.html

  • @MrLinker44
    @MrLinker44 Год назад +93

    you could explain in 20 minutes what my professor couldn't in 2 hours. THANK YOU

    • @MSK-sc1gf
      @MSK-sc1gf 4 месяца назад +2

      😂😂🪬 fact bro

    • @user-px9vf4nc9r
      @user-px9vf4nc9r 2 месяца назад

      Yes is the same matter 😂

  • @srinjandutta121
    @srinjandutta121 10 месяцев назад +13

    The slow build up to the actual topic is just awesome

  • @waasanime2335
    @waasanime2335 Год назад +36

    this 20 min. video literary saved my day !!.. Thank you very much 🤩

  • @shashankjha88
    @shashankjha88 7 месяцев назад +9

    00:11 Designing a 4-bit subtractor circuit
    02:57 Performing subtraction using an adder circuit with 2's complement
    05:28 Performing subtraction using the adder circuit
    08:01 Performing subtraction using a modified adder circuit.
    10:42 XOR gate can be used for both addition and subtraction
    13:23 Binary addition and subtraction using XOR gates and adder circuit
    15:59 Performing subtraction using 2's complement form
    18:21 The adder circuit can be used for addition and subtraction

  • @eda1058
    @eda1058 3 месяца назад +2

    It is just like a private lesson, a teacher teaches me topics I have no idea about detaily, thank you very much for saving me:))And also thanx for the subtitles sometimes because of the accent I cannot understand some parts and other than that when i speed up the video thanks to the subtitles i do not miss anything

  • @gopikrishnanm8091
    @gopikrishnanm8091 Год назад +6

    This is the best explaination so far i have seen, thanks sir.

  • @fabulouscsk9564
    @fabulouscsk9564 Год назад +6

    WONDERFUL explanation sir! 👍

  • @ragzzz07
    @ragzzz07 7 месяцев назад +1

    Hi, I have tried to make the same the circuit on the circuit verse but upon doing the addition of 1111 and 1000 bits the carry out of the second 4bit adder is not giving the 1 bit as the output carry, so, do we need to need to get the output of the carry or borrow bit from the 1st 4bit adder module ?

  • @book19118
    @book19118 Год назад +2

    Best video on this topic. Thanks a lot.

  • @yogeesh_kulal02
    @yogeesh_kulal02 3 месяца назад +2

    You saved my day... Thanks❤

  • @zohaib5636
    @zohaib5636 3 месяца назад +4

    sir your inglish is very gut. i want to take classes from you. i have a dream of securing full marks in inglish. when you say "The output of xor" hits different.❤

  • @jonathanbanda5395
    @jonathanbanda5395 Год назад +2

    May God nature both everything you touch and involve yourself, Good health too

  • @deepthidonthu
    @deepthidonthu 3 месяца назад

    your way of explanation is really awesome . It is very clear content to understand the concept . Thank you.

  • @ahmadfahryan6206
    @ahmadfahryan6206 6 месяцев назад +1

    makasih sangat jelas dan sangat memabntu saya dalam mengerjakan LK Eldas terlebih lagi modul m-11

  • @hafsans7323
    @hafsans7323 3 месяца назад +1

    Very good class sir.......

  • @omanshsharma6796
    @omanshsharma6796 10 месяцев назад +3

    beautifully explained, thanks a lot

  • @rush_holic
    @rush_holic Год назад +6

    Literally the best video on this topic found so far 👍🔥

  • @praveenkumargorrepati5590
    @praveenkumargorrepati5590 2 года назад +3

    superb explanation sir ❤️❤️❤️🔥🔥

  • @UsairaShahbazZahid
    @UsairaShahbazZahid Год назад +1

    This lecture is awesome !!!!

  • @udaysingh5167
    @udaysingh5167 9 месяцев назад +2

    Very Informative video. Thanks

  • @bibhakardas5761
    @bibhakardas5761 2 года назад +4

    Damn good explanation! ❤️

  • @muthyalasandeep5382
    @muthyalasandeep5382 Год назад +2

    It 's excellent explanation sir

  • @shantanusingh2039
    @shantanusingh2039 7 месяцев назад +2

    Better video than neso academy

  • @prashantsubedi9351
    @prashantsubedi9351 2 года назад +3

    You are a legend sir!

  • @Pallavi604
    @Pallavi604 Год назад +2

    wonderful explanation 👍

  • @ed_731
    @ed_731 Год назад +1

    Fantastic. Thank you.

  • @Happymind1331
    @Happymind1331 2 года назад +7

    Today was my end sem exam nd i got this question in it

  • @prabhleensingh5667
    @prabhleensingh5667 Год назад +3

    Really helpful 👍🏻

  • @debanjanbera2695
    @debanjanbera2695 Год назад +2

    Very very Thank you!!!!!

  • @user-wb8hl6nh7g
    @user-wb8hl6nh7g Год назад +3

    The best video I have seen ever😍

  • @sanjayshah9838
    @sanjayshah9838 2 года назад +4

    Very Nice 👌👍

  • @bigdickbazuso198
    @bigdickbazuso198 2 года назад +3

    Good video!

  • @abdulrahimalam3243
    @abdulrahimalam3243 2 года назад +2

    Legend sir 👍❤

  • @harshshah1818
    @harshshah1818 10 месяцев назад +1

    Nicely explained

  • @antoral1599
    @antoral1599 2 года назад +4

    I have a question, why does the 2's complement checker does not work when you add two negative numbers? Ex. -2-1 = 1110 + 1111 = 11101. So the most significant bit, which is 1, is inverted and then it goes through a AND gate with the CTR value, but the result ends up being 0 (0 * 1) . Even though the result is in 2's complement form. PLS HELP, I have a project related to this. Thank you!

    • @SwaraatChatterjee
      @SwaraatChatterjee Год назад

      i guess you will have to give a signal ... 1 for positive and 0 for neg. then you can try.

    • @Reydriel
      @Reydriel Год назад

      This 2's complement checker here only deals with unsigned integers (positive numbers only). We are only subtracting ONE unsigned integer from the other unsigned integer.
      They cannot both be negative, since the circuit can only convert one of them to its 2's complement representation.
      However, the 2's complement checker here is also not 100% correct, it fails to account for subtraction by zero, which will never output a carry bit and thus, the checker would mark the result as a 2's complement number when it isn't.
      What you are doing is adding two SIGNED integers. The inputs and outputs are already guaranteed to be in 2's complement, so you don't need a checker there.
      (You might need a checker to detect overflows (+ve + +ve = -ve) and underflows (-ve + -ve = +ve) which you can do by comparing the MSBs of the two inputs and the output)

    • @igxniisan6996
      @igxniisan6996 Год назад

      ​@@Reydriel rare to see anime lovers learning digital electronics

    • @Reydriel
      @Reydriel Год назад

      @@igxniisan6996 Nerds, going to college? Ain't no way lmao

  • @shafaybutt3256
    @shafaybutt3256 6 месяцев назад +1

    Nice bro very nicely explained 11:42

  • @mayurshah9131
    @mayurshah9131 2 года назад +3

    Superb

  • @AbdurRehman_15
    @AbdurRehman_15 3 месяца назад

    Please tell how does the circuit know that when the control is 0 or 1? and also how the circuit will know when the last carry4 will be ignored or not?

  • @MotivationKida-cb1hp
    @MotivationKida-cb1hp Год назад +1

    Excellent

  • @Aman-0624
    @Aman-0624 4 месяца назад

    Mast explanation sir ji❤❤❤

  • @e3gaming_475
    @e3gaming_475 7 месяцев назад

    Thank you so much❤

  • @Alien.Coderzzz
    @Alien.Coderzzz 3 месяца назад

    Amazing 😍

  • @reddypallikavitha6002
    @reddypallikavitha6002 Год назад

    Sir clister clear sir thank you so much sir

  • @user-tc9mq2rm6l
    @user-tc9mq2rm6l Год назад +1

    知識をありがとう

  • @rajualugubilli9078
    @rajualugubilli9078 Год назад

    Thank so much bro 🥰🥰

  • @mahadevs7168
    @mahadevs7168 8 месяцев назад

    Thank you sir❤

  • @sameedansar3552
    @sameedansar3552 Год назад

    TY
    jAZKALLAH KHAIR

  • @Mo-fz1to
    @Mo-fz1to 9 месяцев назад

    thank you so much

  • @uyioduware693
    @uyioduware693 3 месяца назад

    Great explanation sir.
    What it the output from the And gate is 0, since A>B.
    We don't want it to do the 2's complement of B again and then add since A>B. How would the system know it's to stop if A>B.

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  3 месяца назад

      If A > B, And if you are performing A - B, then you will get carry at the output. That means Co = 1. So, here since it is applied through invert to the AND gate, so the output of the AND gate will be 0. That means the output of the second ADDER is same as the output of the first adder. ( since XOR gate won't invert the S3, S2, S1 and S0 ouptuts of the first adder, and C0 for second adder will also be 0). I hope, it will clear your doubt.

    • @uyioduware693
      @uyioduware693 3 месяца назад

      ​@@ALLABOUTELECTRONICSThank you sir, I had to go back and look at it again, A0-A3 is 0, so it won't change the value of the 1st adder as you said the carry out it's applied through invert to AND gate.

  • @saisnehalvamanpally4750
    @saisnehalvamanpally4750 6 месяцев назад

    Your explaination was awesome. But i have a doubt sir , if we add two 4 bits which results to get a 5 bit output then the carry output atlast will be not shown by this method because we use not gate and multiply with ctr.
    How to overcome this problem?

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  6 месяцев назад

      If you closely observe, C4 output is still available. Of course, the same signal is given to NOT gate and to AND gate. But in case, if the carry is generated then it will be available. Whether it is valid carry or not, that depends on the output of the AND gate. I hope, it will clear your doubt.

  • @MoMo-lo6kh
    @MoMo-lo6kh 7 месяцев назад

    Thanks brother

  • @abdullahfathy858
    @abdullahfathy858 2 месяца назад

    what would change if the operation was like -3 +4 , thats like my problem right now is how to represent the negative number , i know that there is 1's & 2's complement representation and there is a sign magnitude representation but in the implantation on the circuit how will the gate recognize if the most significant bit is a sign

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  2 месяца назад

      This circuit is for the addition and subtraction of unsigned numbers. For the negative numbers ( 2s complete numbers), you need to modify the circuit.

  • @user-yy7uh9qi4g
    @user-yy7uh9qi4g 4 месяца назад

    WHAT IF THERE IS A NOT GATE BETWEEN CTRL AND THE FULL ADDER BLOCK

  • @Amigo15
    @Amigo15 Год назад

    Can't we just add another XOR logic gate to Cout and then connect it with CTR ?

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  Год назад

      Hi would you please mention the timestamp where you are referring to in the video? It would be easy for me to answer your question.

  • @harishanand8682
    @harishanand8682 Год назад +2

    perfectoooooooooooooooooooooooooooooooooooooooooooooo

  • @heyitsmea8883
    @heyitsmea8883 6 месяцев назад

    What if my carry is 1 and I want to do addition

  • @shawneenation9326
    @shawneenation9326 Год назад

    so is setting the control to 1 subtracting and 0 adding

  • @srinidhijami6484
    @srinidhijami6484 5 месяцев назад

    I need code for this adder and subtractor in vhdl can you help us

  • @Uncertainty777
    @Uncertainty777 8 месяцев назад

    6:55 - My question here is instead of making carry=1 in the first bit why can't we remove the inverter of B in first bit and making carry=0 as usual?

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  7 месяцев назад +1

      Yes, It will work. But it is better to use the same arithmetic blocks for each bit. (rather than a little different arithmetic block/without inverter for LSB)

    • @Uncertainty777
      @Uncertainty777 7 месяцев назад +1

      ​@@ALLABOUTELECTRONICSthank you

  • @KartickJana2003
    @KartickJana2003 2 года назад +1

    Nice

  • @faneeshbansal
    @faneeshbansal Год назад

    sir i have one doubt in this, here we use bin0 as our control pin, as when bin0 = 0 , then the circuit perform addition, and when bin 0 = 1; the cicuit perform addition, but if we have our bin = 1 in addition case i.e if there is alreay a carry in , then we can't perform addition here.. it will do subtraction in that case.
    please clear this doubt

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  Год назад

      you need to connect the Cin input with CTR input only for the first block (The Least significant Block). Suppose you are cascading multiple such blocks then you can directly connect Cout of one block to Cin of the next block. In the next block, you don't need to connect CTR with Cin.
      You can check it manually or you can also simulate the same thing. I hope you got what I mean to say. If you still have any doubt then let me know here.

    • @faneeshbansal
      @faneeshbansal Год назад

      @@ALLABOUTELECTRONICS oh, now i visualise this sir, completely clear now , Thanks for the reply 😄

  • @MMNayem-dq4kd
    @MMNayem-dq4kd Год назад

    Bravo

  • @Khushu_21
    @Khushu_21 9 месяцев назад

    Control(mode) means ??

  • @user-wv9hy7xg4g
    @user-wv9hy7xg4g 3 месяца назад

    for the question (10-12) the answer would be 11110 when we calculate simply without using any circuit
    but in the final circuit while performing (10-12) the result concluded by (4-bit adder-2): s3s2s1s0 is 1100 with sign 1.
    while the answer should be 11110.
    no true form or 2s complement form.
    the answer should be 11110 which was given by single circuit, then why add the second?!
    please clearify.

  • @nomann5244
    @nomann5244 2 года назад +1

    But in calculator we don't have two display for input. We have only one display so we add serially like at first input 3 then input 2 and we get output 5.
    How we can design this type of circuit which will take input serially like real life calculator and we get output using memory flip flop and logic gate.
    I didn't find the answer how our real life calculator is working and saving the input in memory then add it to another and produces output.

  • @khushilalwani9944
    @khushilalwani9944 Год назад +1

    why didi we used 2's complement for subtraction we could have took any other complement

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  Год назад +4

      Since we are doing the subtraction in binary, 2s complement is preferred one. One might argue for 1s complement method instead of 2s complement, but in 1s complement representation we have two different representations for '0', which is convenient for implementation.
      I hope, it will clear your doubt.

    • @khushilalwani9944
      @khushilalwani9944 Год назад +2

      @@ALLABOUTELECTRONICS thank you for such instant reply
      Everything is so clear you teach so well ☺️

    • @as_if
      @as_if Год назад

      *Didi*

  • @amritanshusingh7943
    @amritanshusingh7943 4 месяца назад +1

    Why my professor are not as you
    2×50=100mins bhi kam pad gye unhe

  • @uyioduware693
    @uyioduware693 3 месяца назад

    Also sir, it just talks about if B was either a negative or positive, what if A was either positive or negative.

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  3 месяца назад

      This circuit is meant for the addition and subtraction of the two 4-bit unsigned numbers. It is not designed for the signed numbers.

    • @uyioduware693
      @uyioduware693 3 месяца назад

      @@ALLABOUTELECTRONICS I know it's for 4-bit unsigned numbers.
      The circuit only solves for when B is either positive or negative. What if A was either positive or negative too. We can have A-B, A+B and also -A-B.
      The question is for the scenario where -A-B needs to be solved for sir. Thank you.

    • @ALLABOUTELECTRONICS
      @ALLABOUTELECTRONICS  3 месяца назад +1

      The unsigned numbers will be non-negative. So, -A -B scenario won’t come. If you have two unsigned numbers then either you add them or subtract them.

    • @uyioduware693
      @uyioduware693 3 месяца назад

      @@ALLABOUTELECTRONICS ohh thank you very much sir 🙏

  • @user-fd3oz5jb8v
    @user-fd3oz5jb8v Год назад

    please share this pdf

  • @savitajaincodingchannel296
    @savitajaincodingchannel296 Год назад

    How we wil ignore or last carry

  • @FellowHindu
    @FellowHindu 5 месяцев назад

    Am I the only one who is hearing 'five' fiuu
    Anyway thank you sir

  • @Surya-aaa
    @Surya-aaa 2 года назад +1

    SIR PLZ CAN U MAKE VIDEO IN HINDI PLZ

  • @aanishas1925
    @aanishas1925 7 месяцев назад +1

    Thank you so much ❤
    U have no idea how much this channel helps!🥹

  • @ahmadjaradat3011
    @ahmadjaradat3011 8 месяцев назад +1

    This lecture is awesome !!!!