Hexadecimal number system | Applying mathematical reasoning | Pre-Algebra | Khan Academy

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  • เผยแพร่เมื่อ 21 ม.ค. 2025

ความคิดเห็น • 407

  • @shayyrenee9283
    @shayyrenee9283 4 ปีที่แล้ว +77

    I was super confused til I came here. You never let me down , Sal. Appreciate you!

    • @tangledrootsmedia
      @tangledrootsmedia 2 ปีที่แล้ว

      agreed! First time coming to this channel and the way he teaches is so clear its amazing!

    • @mrgenetics4063
      @mrgenetics4063 2 ปีที่แล้ว

      Please stop posting stupidity

  • @pezpeculiar9557
    @pezpeculiar9557 9 ปีที่แล้ว +496

    Sometimes I wonder how you write so good with a mouse

    • @Simon-xi7lb
      @Simon-xi7lb 9 ปีที่แล้ว +7

      +wowitsbryce
      *Well

    • @pezpeculiar9557
      @pezpeculiar9557 9 ปีที่แล้ว +11

      Simon H. You know exactly what I meant.

    • @Simon-xi7lb
      @Simon-xi7lb 9 ปีที่แล้ว +2

      wowitsbryce
      it's a meme you dip

    • @pezpeculiar9557
      @pezpeculiar9557 9 ปีที่แล้ว +16

      Simon H. That's not a meme.

    • @Simon-xi7lb
      @Simon-xi7lb 9 ปีที่แล้ว +1

      wowitsbryce
      knowyourmeme.com/memes/grammar-nazi
      you wot m80?

  • @robinlakics4169
    @robinlakics4169 4 ปีที่แล้ว +17

    I recently changed mathematics groups and i was told that i would fall behind others and ned private tutoring but after i binged the whole section about this I’m now ahead of my whole class, thank you

  • @trinex64
    @trinex64 5 ปีที่แล้ว +49

    The thing that really impresses me is... how somebody can write beatifuly with a *MOUSE*

    • @Tech360HD
      @Tech360HD 5 ปีที่แล้ว +16

      sorry to break your impression,he is using a drawing/writing pad.

    • @Ben.N
      @Ben.N 3 ปีที่แล้ว +3

      @@Tech360HD that would make sense, but in some videos he drags the cursor to the side to switch colors?

    • @Sama-tq1nk
      @Sama-tq1nk 3 ปีที่แล้ว +1

      @@Tech360HD I don't think so because you can see a cursor on the screen. So he is using a mouse

    • @matthew1992
      @matthew1992 3 ปีที่แล้ว +1

      @@Sama-tq1nk he shows his setup in a tiktok and he does indeed use a stylus to write

    • @tang3151
      @tang3151 3 ปีที่แล้ว

      @@Sama-tq1nk he uses a stylus, the tip of the pen is responsive to the screen lol no one can write like that with a mouse

  • @medbob1
    @medbob1 10 ปีที่แล้ว +28

    Each hex digit represents half of a byte in binary.
    As a byte is made of of 8 bits, the E7 above can be easily transformed into binary as the first four bits can be represented by the E. And the second four bits are patterned after the 7. That is why Hex is often used in computers as the character representation matches the pattern of bytes exactly in fewer characters.

    • @anaa9245
      @anaa9245 2 ปีที่แล้ว +1

      I just learned this today :)

    • @Milstrosity
      @Milstrosity 2 ปีที่แล้ว +2

      I thought school was easy, this is a 6th grader talking though.

  • @AdamShaiken
    @AdamShaiken 10 ปีที่แล้ว +44

    FF(hex)=255(dec) and AF3(hex)=2803(dec)

    • @aldante7079
      @aldante7079 10 หลายเดือนก่อน

      Isn’t FF 256 ?

    • @juangaming1.0allaround64
      @juangaming1.0allaround64 7 หลายเดือนก่อน +2

      @@aldante7079 FF
      Reading left to right.
      First F is 16^1 Second F is F^0
      So, F • 16^1 + F • 16^0
      F = 15
      16^1 = 16
      16^0 = 1
      Now to simplify.
      So, 15 • 16 + 15 • 1
      So, 240 + 15
      Which comes down to 255

  • @cloudcop4846
    @cloudcop4846 10 ปีที่แล้ว +241

    FF is 255 and AF3 is 2803

    • @jaswik2023
      @jaswik2023 6 ปีที่แล้ว +3

      yes v

    • @ChimyChum
      @ChimyChum 6 ปีที่แล้ว +2

      Ye

    • @unknown-vq1gj
      @unknown-vq1gj 6 ปีที่แล้ว +1

      samething

    • @MikeGreenwood51
      @MikeGreenwood51 5 ปีที่แล้ว +2

      Is there a FFF? If yes what number is it? TY.

    • @fliptrontube
      @fliptrontube 5 ปีที่แล้ว +2

      @@MikeGreenwood51 15*256 + 15*16 + 15 = 4095

  • @donnamccormick5515
    @donnamccormick5515 3 ปีที่แล้ว +13

    Thank you so much, as I was introduced to this system decades ago. So now I can study your very clear lesson, and help myself understand and actually remember this system. The greatest compliment that I can give you is that you have helped me with something that I could never have grasped before, as did Mr. Tuscher in my 1st year of college

  • @MG30001
    @MG30001 10 ปีที่แล้ว +63

    ah thanks. now i understand that hex color codes are just representations of ther decimal RGB value

    • @dylanvient6360
      @dylanvient6360 4 ปีที่แล้ว

      So many different paths unlocked in my brain

  • @navalporcupine2426
    @navalporcupine2426 8 ปีที่แล้ว +38

    Thanks, I've got my exam tomorrow and this is somewhere which caught me out in my last mock exam.

    • @hslegolos
      @hslegolos 8 ปีที่แล้ว +2

      are you allowed a calculator in this exam?

    • @sushi893
      @sushi893 3 ปีที่แล้ว

      4 years ago?

    • @skywatcher458
      @skywatcher458 3 ปีที่แล้ว

      @@hslegolos uhh calculator are using 10 base number, it's not going to help much with base 16 number system

    • @sdawasdwaasda8491
      @sdawasdwaasda8491 3 ปีที่แล้ว

      among us

  • @vxrdrummer
    @vxrdrummer 4 ปีที่แล้ว +4

    I am here for a refresher of my college days 20 years ago. AF3 = 2803. Blimey that was actually 14 years ago in hex!!!

    • @mmm-kh1od
      @mmm-kh1od 3 ปีที่แล้ว

      think it should be 403

  • @AgathaNantt
    @AgathaNantt 9 ปีที่แล้ว +10

    231/16=14.4375
    14=E (in hex)
    14*16=224
    231-244= 7
    7=7( in hex)
    231=E7(in hex)

    • @R0ssMacPherson
      @R0ssMacPherson 9 ปีที่แล้ว

      +Agis beauty Finally. All I wanted to see.

    • @tawbinable
      @tawbinable 7 ปีที่แล้ว

      Thanks for explaining. I was wondering how he got E but now it makes sense.

  • @MrLlaanderson
    @MrLlaanderson 2 ปีที่แล้ว +7

    Really appreciate these videos. Wish my course materials made it this clear!!

  • @MG30001
    @MG30001 10 ปีที่แล้ว +5

    I was about to ask if F shouldn't be 16? But not no, it starts with 0.
    So does binary etc. So not "computers start counting with 0", every number system does.
    Now I even figured out why. Because number sign are just placeholders. And the lowest value you have to represent "nothing" in order to express "no times this power of base jump".
    Only humans start counting with 1.
    Seems super logic but who's really aware of it? Mindblowing!

  • @ReallConstant
    @ReallConstant 8 ปีที่แล้ว +152

    I'm E years old and I already know how to use hexadecimal.

    • @llamaindustries1
      @llamaindustries1 8 ปีที่แล้ว +8

      +Real Constant and? i learnt when i was 10

    • @rhodriprice2205
      @rhodriprice2205 8 ปีที่แล้ว +2

      +llamaindustries soz m8

    • @EaglesInHD
      @EaglesInHD 8 ปีที่แล้ว +8

      +llamaindustries Lol good for you too kid

    • @iamblakepeters8525
      @iamblakepeters8525 8 ปีที่แล้ว

      same

    • @iamblakepeters8525
      @iamblakepeters8525 8 ปีที่แล้ว +10

      +llamaindustries apparently you took to much time in math, and not enough in english

  • @badumtiss9834
    @badumtiss9834 8 ปีที่แล้ว +1

    We use your website in math class at school. At first I thought is was just another stupid ass math site, but after watching this, I feel different. I'm aiming for a career in computer science in the future, and knowing this is pretty important. You illustrated the way hexadecimal works very well, and I now understand it.

  • @technoultimategaming2999
    @technoultimategaming2999 5 ปีที่แล้ว +6

    AF3
    A=10
    We have 16^2=256
    256×10= 2560
    F=15
    16^1=16
    16x15= 240
    3=3
    So
    AF3 = 2560+240+3=2803?

    • @imanidiot2180
      @imanidiot2180 5 ปีที่แล้ว +1

      And your answer is... correct!

    • @MikeGreenwood51
      @MikeGreenwood51 5 ปีที่แล้ว

      Thank you for showing that!

  • @gatoradefanVEVO
    @gatoradefanVEVO 4 ปีที่แล้ว +13

    the letter B: B
    my brain before watching this video: "babababa"

  • @StewartBroadcasting
    @StewartBroadcasting 10 ปีที่แล้ว +24

    Thanks, helped with my computing class.

  • @rich1051414
    @rich1051414 6 ปีที่แล้ว +2

    AF3 = (16^2 * A) + (16 * F) + 3 = (16^2 * 10) + (16 * 15) + 3 = 2803

  • @James14703
    @James14703 10 ปีที่แล้ว +6

    Great video, very clear and easy to understand. Thanks!

  • @johnsalisbury4420
    @johnsalisbury4420 6 ปีที่แล้ว +3

    Great explanation! Really helped me out! Up until this point I've been using RGB decimal for defining colors when coding in HTML/CSS, but now I can actually understand what I am doing when I use hexadecimals!

  • @gabefimbres
    @gabefimbres 3 ปีที่แล้ว +1

    Ok cool i understand now
    Ff= 255
    (15×(16^1))+15=255
    (15×16)+15=255
    (240)+15=255
    255=255
    Af3=2803
    (10×(16^2))+(15×16)+3
    (10×(256))+(15×16)+3=
    (2560)+(240)+3=2803
    (2560+240)+3=2803
    (2800)+3=2803
    2803=2803
    I was limited on space for that last one

  • @fahdalawsi2172
    @fahdalawsi2172 2 ปีที่แล้ว +1

    That video helped me in like no time.
    Amazing job

  • @HelloMrK
    @HelloMrK 2 ปีที่แล้ว

    TY TY TY TY this helped me a lot more than what was on the CompTIA eBook

  • @The_Info_Lens
    @The_Info_Lens 4 ปีที่แล้ว +1

    Thank you so much .This topic is more clear when you explained it !

  • @mikerockmusic2779
    @mikerockmusic2779 2 ปีที่แล้ว +1

    Thank you for helping me understand this concept, finally.

  • @hyorinxo
    @hyorinxo 2 ปีที่แล้ว +2

    Thank you so much! So easy to understand!

  • @StreamendeBelg
    @StreamendeBelg ปีที่แล้ว

    Only video i found that was explained well!

  • @alberteinstein1015
    @alberteinstein1015 5 หลายเดือนก่อน

    You have re-shown me how numbers work at the cost of my newfound discombobulation.

  • @nayesha9375
    @nayesha9375 3 ปีที่แล้ว +3

    Awesome explanation 😭🙌...
    It was soo good! I wasn't able to understand anything before !

  • @creativeclaude5304
    @creativeclaude5304 6 ปีที่แล้ว +2

    Thanks so much was much more clear when you explained it!

  • @sanjaysinghrawat3363
    @sanjaysinghrawat3363 4 ปีที่แล้ว +1

    Internet is a good place just because of people's like you 💗

  • @MikeandVille
    @MikeandVille 3 ปีที่แล้ว +2

    Decimal equivalent of "3" = 3 × 16^0 = 3
    Decimal equivalent of "F" = (F) 15 × 16^1 = 240
    Decimal equivalent of "A" = (A) 10 × 16^2 = 2560
    Decimal equivalent of "AF3" = 2560+240+3
    AF3 = 2803

  • @tymothylim6550
    @tymothylim6550 3 ปีที่แล้ว +3

    Thank you very much for this video! It is very well done and very educational :)

  • @661.j0shh
    @661.j0shh 3 ปีที่แล้ว

    Thank you will watch right now

  • @muffinbunbiz6222
    @muffinbunbiz6222 4 ปีที่แล้ว +3

    this is really making me think about life

  • @IamJenJen101
    @IamJenJen101 10 ปีที่แล้ว +2

    in our number system FF is 255 (15*16 + 15*1) and AF3 is 2803 (10*256 + 15*16 + 3*1)

    • @IamJenJen101
      @IamJenJen101 10 ปีที่แล้ว

      I think

    • @Soulstealer050
      @Soulstealer050 9 ปีที่แล้ว

      Iam JenJen It's what I got. FF would be (First F= 15*16= 240) while (Second F= 15). 240 + 15= 255. :)

    • @toonaville02
      @toonaville02 9 ปีที่แล้ว

      So for understanding, why wouldn't it be 10*16 for A? but it is for F?

    • @IamJenJen101
      @IamJenJen101 9 ปีที่แล้ว +1

      Que because A is in a higher position
      the A is in the two-hundred-fifty-six position and F is in the sixteen position
      meaning A is symbolizing how many two-hundred-fifty-sixs there are, and not how many sixteens

  • @SalmonVods
    @SalmonVods 7 ปีที่แล้ว +2

    Only if my Computer Science didn't suck and have such a strong accent, I would understand her but Khan Academy makes everything more understandable. Thank you for saving me, always able to teach well unlike a teacher at my school.

  • @alexodonoghue3595
    @alexodonoghue3595 3 ปีที่แล้ว +1

    Really helpful, cheers

  • @remielsmetaverse
    @remielsmetaverse 5 ปีที่แล้ว +1

    very helpful man thanks!

  • @nikhilkumar-c7
    @nikhilkumar-c7 8 ปีที่แล้ว +4

    what is the application or software or any external device used in this video for writing?

  • @agstechnicalsupport
    @agstechnicalsupport 5 ปีที่แล้ว +1

    Great explanation of the hexadecimal numbering system. Thank you !

  • @lxusv
    @lxusv 3 ปีที่แล้ว +2

    your like the cool math teacher everyone wish they had :') lol

  • @arabellalauren
    @arabellalauren 4 ปีที่แล้ว

    This is good. I honestly say this is helpful to me even tho I'm not the best in English.

  • @mikearchives
    @mikearchives 10 ปีที่แล้ว +2

    The way I go from decimal to hexadecimal is by converting the decimal to binary and then binary to hexadecimal. The reason is because every nibble of binary maps directly to one of the 16 hexadecimal digits. Is that the most efficient way of converting?

    • @Unstopapple
      @Unstopapple 10 ปีที่แล้ว +1

      No, every base is convertable to each other. The only reason we use one over the other is its primary use. Electricity is on or off, so we use binary, binary is commonly used in packets of 8 bits, or 1 byte, so we can represent half of a byte as one digit of hexadecimal. So FF means 1111 1111 in binary, and is used in compacting the information computers use. It is easier to read F2B9 than 1111 0010 1011 1001

    • @Valentina-cl1fv
      @Valentina-cl1fv 10 ปีที่แล้ว

      GenOmega2 That's a really interesting comment. Thank you :)

  • @michaelrogers2597
    @michaelrogers2597 5 ปีที่แล้ว +4

    I understand how you converted the E7 to 231, I just wish you showed us how you converted the 231 to E7 in the first place.

    • @bbsmislive2116
      @bbsmislive2116 5 ปีที่แล้ว

      Michael Rogers

    • @dswailes3767
      @dswailes3767 3 ปีที่แล้ว +1

      Thank you! My point exactly. Lousy job in explaining, nothing makes sense from that point on.

  • @TanveerAhmed-bx5ey
    @TanveerAhmed-bx5ey 3 ปีที่แล้ว

    Thank you so much for helping me 💖

  • @ubercorey
    @ubercorey 4 ปีที่แล้ว

    Awesome. Thank you!!!

  • @cybersecurebiz
    @cybersecurebiz 2 ปีที่แล้ว

    wow thank you!

  • @zoher055
    @zoher055 7 ปีที่แล้ว +1

    thanks for the tutorial

  • @hawraaaltai7925
    @hawraaaltai7925 4 ปีที่แล้ว

    Thanx ♥️

  • @trynnafinddso4730
    @trynnafinddso4730 3 ปีที่แล้ว +1

    you guys rock

  • @sidney7180
    @sidney7180 7 ปีที่แล้ว +3

    Go on double speed to 2:15. Still laughing! But a great video!

  • @MikeGreenwood51
    @MikeGreenwood51 5 ปีที่แล้ว +1

    What is 33.60º?
    What is 30.82º? Converted to layman sixty degrees mathematics please? Is the 'º' denoting hexadecimal rather than degrees? And if yes. Is reality that 45º is the same in hexadecimal as well as in a sexegisimal degree language system? IE is that just a mathematical coincident? TY.

  • @rajkarmakar3927
    @rajkarmakar3927 2 ปีที่แล้ว

    Nicely explained.

  • @phoenixdzk
    @phoenixdzk 3 ปีที่แล้ว +1

    FF=255. So does that mean Red? I think red is 255,0,0 so does that change anything?

    • @drofeng
      @drofeng 3 ปีที่แล้ว

      If you are representing a RGB color using 8-bits, it's FF0000, where the first, second and third bytes represent the red, green and blue value, respectively

  • @Redorikev_Ranovee
    @Redorikev_Ranovee ปีที่แล้ว +1

    I'm 10 years old in hexadecimal system..... Convert it in decimal

  • @salvillalon4275
    @salvillalon4275 7 ปีที่แล้ว

    THANK YOU!

  • @ChristianMeyer
    @ChristianMeyer 10 ปีที่แล้ว

    I would have liked some more elaboration on the actual use cases of hexadecimal numbers.

    • @markgriz
      @markgriz 10 ปีที่แล้ว +2

      Computer calculations are performed in binary, with long strings of binary digits, typically 16 or 32 "bits". That makes it difficult for us humans to work with, since nobody wants to write out that many digits. However, since binary and hexadecimal are both power of 2 based, you can easily convert binary to hexadecimal by grouping 4 binary digits together. 4 binary bits = 1 hex digit. So, instead of writing out 32 binary digits, you can represent the same value with only 8 hex digits.

    • @DulceDeLecheeee
      @DulceDeLecheeee 2 ปีที่แล้ว +1

      The martian. if all else fails, use hexadecimals

  • @oscarchivas3123
    @oscarchivas3123 10 ปีที่แล้ว +1

    If you don't mind me asking, what software do you use to make these videos? My old physics teacher makes videos for his students using a smart board but sometimes parts of the writing cut off and it can be tricky to understand. It'd be great if he could upgrade to something like this

    • @jimmyjohns2736
      @jimmyjohns2736 6 ปีที่แล้ว

      Oscar i think its in the website

  • @fluteloopsyd
    @fluteloopsyd 7 ปีที่แล้ว

    I started texting my friend in hexadecimals just to confuse her. I said, "48 49. 49 55 53 45 48 45 58 41 44 45 43 49 4d 41 4c 53 4e 4f 57 !" which means, "HI. I USE HEXADECIMALS NOW!" It's in all caps because if it weren't, things would get a LOT more complicated.

  • @D00MLOORD
    @D00MLOORD 10 ปีที่แล้ว +1

    What kind of input device do you use? Looks too smooth to be a regular mouse :)

    • @monkeyapex
      @monkeyapex 10 ปีที่แล้ว

      I'll be a graphics tablet. Used by digital artist usually. Search it.

  • @rokas98765
    @rokas98765 10 ปีที่แล้ว

    so what if you wanted the number 17, how would you show it in hexadecimal?

    • @marcdiantello7255
      @marcdiantello7255 10 ปีที่แล้ว +2

      11

    • @kondepudiaditya1279
      @kondepudiaditya1279 9 ปีที่แล้ว

      LEGIT mofo 17/16=1.0625
      now 1 is in the 10's place
      1*16^1+( )=17
      so the brackets should contain 1=> it's 11

  • @anukeshchauhan
    @anukeshchauhan 10 ปีที่แล้ว

    thanku so much

  • @livewithdanishzahoor6347
    @livewithdanishzahoor6347 3 ปีที่แล้ว +2

    Nice🥰

  • @kazzkaz7855
    @kazzkaz7855 6 ปีที่แล้ว

    very valuable. thank you!

  • @Dennis-er8xc
    @Dennis-er8xc 9 ปีที่แล้ว

    I do have a question that E comes on 15th number and should be given a value of 15 and F should become 16.
    Please respond to me.

    • @miniblob5
      @miniblob5 8 ปีที่แล้ว

      but there is 0.

    • @Dennis-er8xc
      @Dennis-er8xc 8 ปีที่แล้ว

      Okay got it thanks!!

  • @Moglikidunia
    @Moglikidunia 3 ปีที่แล้ว +1

    Why Base-8 numbers not commonly used in the presence of Hexadecimal number system?

  • @cliffordbevans8140
    @cliffordbevans8140 2 ปีที่แล้ว

    Maybe a dumb question, but could this system be extended out seemingly infinitely, limited only by the number of symbols invented to represent the different integers?

  • @syedmohammadshabbir8195
    @syedmohammadshabbir8195 4 ปีที่แล้ว

    Why do we put exponents on hexadecimal numbers?

  • @lilsamofro
    @lilsamofro 9 ปีที่แล้ว

    Soooo with RGB being measured between 0 -255, im assuming that we use 255 shades of each colour to match the Hexadecimal limit. ie we chose to use hexadecimal first and then decided 255 was adequate rather than a happy coincidence??

  • @jdamico9
    @jdamico9 5 ปีที่แล้ว +1

    Great explanation, had trouble with this on practice exams

  • @nathanherder1414
    @nathanherder1414 8 ปีที่แล้ว

    Thanks Hal

  • @plrokster309
    @plrokster309 10 ปีที่แล้ว +4

    How about a base e system? That would be useful for natural log sort calculations. Anybody with me?

    • @rutabagasteu
      @rutabagasteu 7 ปีที่แล้ว +1

      Ultra Takes The L base e. is a non repeating decimal number like pi. is.

  • @cynical__
    @cynical__ 8 ปีที่แล้ว +3

    what do u use

    • @oliverbeck6839
      @oliverbeck6839 5 ปีที่แล้ว +1

      cocaine marijuanna all of the tings ya get me

  • @kajolislam6863
    @kajolislam6863 2 หลายเดือนก่อน

    FF in hex is converted to 255
    AF3 in hex is converted to 2803

  • @bmx98583
    @bmx98583 10 ปีที่แล้ว +1

    So how come computers don't use a 20-bit system or something instead of Binary? Wouldn't it be easier and smaller to transport larger information?

    • @VarishtGhedia
      @VarishtGhedia 10 ปีที่แล้ว +4

      Because if we go towards the lowest level. i.e. the way the semiconductors in our computers operate there are only two states. High and Low or 1 and 0. So we use binary system in the computer. Over the binary system we can use any nth base system. But when it comes to the lowest level we need to use the binary system only.

    • @brrrdman85
      @brrrdman85 10 ปีที่แล้ว +1

      At the base level the computer circuits only know on/off, yes/no, etc. They know binary, thus everything is built off binary. It is far more convenient to use hexadecimal (which is mathematically closer to binary than decimal).

  • @dragosmakovei
    @dragosmakovei 5 ปีที่แล้ว

    very interesting thank you

  • @fatalritte1550
    @fatalritte1550 8 ปีที่แล้ว

    that hexadecimal system is way more complicated than it has to be. I got interested in it from watching the Martian. all you have to do is take the letter F, put the number 10 beside it, and there's your entire alphabet. There would be no need for punctuation or spaces in the message. But I guess it's not unusual for people take something simple and confused themselves with it. I'm still trying to figure how you took "FF" and got the color white.

  • @RockyLikes
    @RockyLikes 6 ปีที่แล้ว

    So why is Hexidecimal code sometimes written like this example --> 0x64

    • @spaghettiking653
      @spaghettiking653 6 ปีที่แล้ว

      Just a convention. A programming language once used the 0x to distinguish hexadecimal from normal decimal in the code, though it eventually got pretty popular. Most programming languages use it to denote hexadecimal numbers now.

  • @Busy422
    @Busy422 3 ปีที่แล้ว

    Is this type of Math for computer science only?

  • @thedigitalberrybot
    @thedigitalberrybot 9 ปีที่แล้ว

    Great video! Helped a lot thank you!

  • @eng.miroslavmanahilov1944
    @eng.miroslavmanahilov1944 5 หลายเดือนก่อน

    FF = 15*16 + 15 = 255
    AF3 = 10*16^2 + 15*16 + 3 = 2803

  • @kosh3996
    @kosh3996 2 ปีที่แล้ว

    Can this system represent all numbers

  • @colleagueriley8451
    @colleagueriley8451 4 ปีที่แล้ว

    Thank you so much this really helped :)))))

  • @mrbale1815
    @mrbale1815 4 ปีที่แล้ว +1

    14*16+7 , so number position is just instruction for multiplication

  • @brunodanielrodrigues4107
    @brunodanielrodrigues4107 6 ปีที่แล้ว

    The number 26, for example, in hexadecimal is 1A right?

  • @oakenguitar3
    @oakenguitar3 10 ปีที่แล้ว +8

    I think the world would be a lot better off if we counted in 12s instead of 10s and our computers used ternary/trinary instead of binary. Base 12 is the best base to use for everyday math in your head. Its a lot easier to learn to multiply base 12 than base 10 which is what we use since 12 is very composite. In base 10, the 1s,2s,5s, 10s, 11s are easy to learn how to multiply since there is a pattern but in base 12, the 1s,2s,3s,4s,6s,8s,9s, As, Bs, 11s (13s in base 10) are all easy to learn because there is a pattern but As and Bs pattern is harder to see. If computers used ternary/ trinary, you could have 0,1, and 2, or -1,0 and 1. The computers would use less energy and be more secure and still use modern coding with some minor adjustments maybe. Every base number system has its own strengths and weaknesses but bases 2, 10 and 12 are super important. base 4, 8 and 16 are good for computers. In Base 6, all the prime numbers greater than the number 6 all end with a 1 or 5 , but not all numbers that end in a 1 or 5 are prime. You can count to 1023 on your fingers in base 2 since your fingers can bend and stand for a 0 or 1 but you can count to 59,048 in base 3 on your fingers if you can make your fingers bend half way or touch a surface to stand for the extra digit.

    • @emaknyapororo1660
      @emaknyapororo1660 6 ปีที่แล้ว +9

      Bro u were in the shower for too long

    • @sterro8054
      @sterro8054 6 ปีที่แล้ว

      emaknya pororo underrated comment.

    • @rich1051414
      @rich1051414 6 ปีที่แล้ว +1

      The problem with that is, transistors are binary, so making processors to use trits instead of bits increases complexity which would reduce the effective transistor count, which may cause us to be back at square one.
      Additionally, software has been optimized since forever with powers of 2 in mind.

    • @vincenzo3574
      @vincenzo3574 6 ปีที่แล้ว

      You probabily don't know why computers Count in binary, make them Count in trinary would be a lot harder, in binary is simple, 1= wire with electricity 0 = wire without electricity

    • @rich1051414
      @rich1051414 6 ปีที่แล้ว

      That is not why trinary is more difficult. Trinary is just as simple. 0 = wire at ground, 1 = wire at positive voltage, 2 = wire at negative voltage.
      The problem has to do with the fact that transistors themselves are only 2 state devices. It is a fundamental thing.

  • @peternelson8876
    @peternelson8876 7 ปีที่แล้ว

    Foe the longest time, I wanted to know how base-37 works. This because I figured out that once bases go over 10, it goes into the Latin alphabet, but the Latin alphabet only goes up to 26 digits, so how would base-37 work?

  • @UltimateBargains
    @UltimateBargains 10 ปีที่แล้ว +11

    pronunciation is
    A: Able
    B: Baker
    C: Charlie
    D: Dog
    E: Easy
    F: Fox

  • @jowsh60
    @jowsh60 8 ปีที่แล้ว

    Thank you ;)

  • @jeremy6384
    @jeremy6384 2 ปีที่แล้ว

    so how do you write the number 15?

    • @jeremy6384
      @jeremy6384 2 ปีที่แล้ว

      oh we can put a number or letter in the first place and a number or letter in the second place too. So 15 is just F.

  • @abdulrahmanali3819
    @abdulrahmanali3819 8 ปีที่แล้ว +2

    why did you use E7 ...?

    • @hslegolos
      @hslegolos 8 ปีที่แล้ว +1

      exactly! How did you just know to use E7? and is this a calculator exam or what?

    • @anyonethere3657
      @anyonethere3657 8 ปีที่แล้ว

      well it's because E represents 14 and 7 represents 7 so when you write E first it's the 16th power but when you write 7 last it's only seven one time so basically 7 but E=14 written first represents the 16 to the first power so its basically 14 times 16 hope i didn't confuse you more

    • @hslegolos
      @hslegolos 8 ปีที่แล้ว

      lol it was confusing but I've learnt a easier way from some teachers of how to do this so it's good. But in this paper are you allowed a calculator?

    • @anyonethere3657
      @anyonethere3657 8 ปีที่แล้ว +1

      I don't know but it's mostly simple math

  • @martydom9820
    @martydom9820 5 ปีที่แล้ว

    Thank you! No one really explained this in my earlier CS classes.

  • @parthasarker6121
    @parthasarker6121 10 ปีที่แล้ว

    when are we going to get The Octal System?

    • @parthasarker6121
      @parthasarker6121 10 ปีที่แล้ว +1

      I said when Sal gonna make a video about The Octal System

  • @magicguycouldbe
    @magicguycouldbe 10 ปีที่แล้ว

    so... base 26 (using the alphabet) A being 0 ...
    231=JG in base 26. base 4 (0-3), 231 = 3211

  • @thomasbryant4782
    @thomasbryant4782 5 ปีที่แล้ว

    Great video

  • @jackskellingtonation
    @jackskellingtonation 10 ปีที่แล้ว +1

    what about the duodecimal/dozenal system?

  • @justink7269
    @justink7269 2 ปีที่แล้ว

    Why did mark watney need base 16 to communicate?