Converting numbers to different bases, the remainder method

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  • Опубліковано 5 лют 2025
  • Converting numbers to different bases, the remainder method,
    #BinaryNumber #NumberTheory #Base2
    Number in different bases: • Numbers In Different B...
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    #maths #numbersystem #tutorial

КОМЕНТАРІ • 48

  • @drpeyam
    @drpeyam 6 років тому +54

    It’s all about the base 🎵

  • @MathCuriousity
    @MathCuriousity 3 години тому

    I scoured the web for a simple digestible actual UNDER THE HOOD EXPLANATION of WHY this works and finally you answered my prayers where ironically actual playlists from computer science videos could not!!!! You should do a whole series on computer science math and a "under the hood" focus! I geuss its called Number theory right? Or is number systems not technically under " number theory"!? You are a God among men!

  • @clktlk
    @clktlk 6 років тому +6

    Great reaction to the symmetry! Love the videos.

  • @ainarai7667
    @ainarai7667 Рік тому

    Thank u!! This is the only channel that made me understand!!!

  • @tuna3875
    @tuna3875 6 років тому +19

    Can you start a new series about competiton math? Like AMC, math league, MAO, etc.?

    • @iamtackler
      @iamtackler 6 років тому

      Tuanicular I second this. BPRP’s teaching style really suits explanations for competition math. Having an entire series from him on it would be amazing.

  • @letladisebesho4503
    @letladisebesho4503 4 роки тому +1

    Quick and excellent explanation

  • @wyattstevens8574
    @wyattstevens8574 Рік тому +1

    At 1:12, I was like, "Wait- that's the YT survey ad music!"

  • @redroad9949
    @redroad9949 Рік тому +1

    I find it easiest to convert to octal first -- dividing by 8 is easily done even mentally (an advantage over hex) and it's 3 times fewer steps than dividing repeatedly by 2. Converting from octal to binary is also easily done, replacing each octal digit with 3 binary ones.

  • @l3igl2eaper
    @l3igl2eaper 6 років тому +2

    I learned a faster method to convert base 10 numbers into binary numbers at a school overseas. Using the remainder logic, first convert the number into an octary form and utilize a remainder table to convert octary to binary.
    1=001
    2=010
    3=011
    4=100
    5=101
    6=110
    7=111
    I don't remember exactly how it's done but it was super fast for converting large numbers.

  • @jerrylacsamanajr.1240
    @jerrylacsamanajr.1240 4 роки тому +1

    Came here because of switching theory and I have also learned how to switch pen quickly.

  • @seokibuni7618
    @seokibuni7618 2 роки тому

    Thank you dude you helped me a lot

  • @sreekommalapati2032
    @sreekommalapati2032 6 років тому +13

    Omg my friend just asked how to convert from base 8 to base 16 directly like an hour ago

    • @blackpenredpen
      @blackpenredpen  6 років тому +8

      I read your mind! lol

    • @noneuclidean_
      @noneuclidean_ 6 років тому +3

      you can actually just convert each number in octal to binary then convert the binary to hexadecimal
      example:
      7513=
      (111)(101)(001)(011)=
      (1111)(0100)(1011)=
      F4B
      maybe bprp should do a video on why this works! :D

  • @holyshit922
    @holyshit922 6 років тому +2

    This way is presented on techniques of computer devices in IT high school

  • @MrBoubource
    @MrBoubource 6 років тому +1

    That was sweet!

  • @Kavukamari
    @Kavukamari 6 років тому +2

    I imagine it doesn't work upwards? or is there a slightly different method for up-basing?

  • @SuperMtheory
    @SuperMtheory 6 років тому +7

    What method can be used to convert a base 2 number to a base 3 number (without having to use base 10)?

    • @blackpenredpen
      @blackpenredpen  6 років тому +5

      Excellent question. I will make a video on it when I have time. Prob. this coming weekend or so.

  • @Swapnil5
    @Swapnil5 6 років тому +1

    Nice! Please consider uploading some videos on coordinate geometry, thanks! #YAY

  • @afafsalem739
    @afafsalem739 6 років тому +1

    Amazing

  • @husklyman
    @husklyman 6 років тому +1

    How to write a number in a rational or irrational count of digits

  • @holyshit922
    @holyshit922 6 років тому

    What about negative numbers and fractional part
    for negatives bit negation (base - digit)
    for fractional part multiply by the base and take integer part

  • @husklyman
    @husklyman 6 років тому

    So how to convert a real number from base 10 to base N, like, 1/3 , the first 10 digits of e, sqrt(2), and so on

  • @alexoh7834
    @alexoh7834 5 років тому +1

    Change from red to green

  • @kmac5912
    @kmac5912 6 років тому

    is there a function that when given a,c and d you can calculate b knowing that a b amount of up arrows c = d in Knuth's up-arrow notation

  • @blue_tetris
    @blue_tetris 6 років тому +2

    Wow. It was cool that 365 happens to be a palindrome number when converted to binary.

  • @antimatter2376
    @antimatter2376 6 років тому +6

    We are the unlisted

  • @5000jaap
    @5000jaap 6 років тому +1

    for example, if i write 4 and 8 in base 2 they will be 00 ?

  • @Fru1tyy
    @Fru1tyy 6 років тому

    5:43 make this into red,
    uses green marker

  • @razvanbirisan9521
    @razvanbirisan9521 6 років тому +1

    Can you convert a rational number? How about a real one?

  • @angelasinclair1952
    @angelasinclair1952 5 років тому +1

    so easy... yet so confusing if you don't know what's going on lol

  • @roysantos5386
    @roysantos5386 5 років тому

    Upvote.

  • @jyl123
    @jyl123 6 років тому +2

    cool

  • @order_truth_involvement6135
    @order_truth_involvement6135 3 роки тому

    I trust him with math, not because he's asian.

  • @studyguy6808
    @studyguy6808 2 роки тому

    Can you make a video on converting decimals to any base?

  • @KelfranGt
    @KelfranGt 6 років тому +2

    That “explaination” in the title is one imaginary number too much

    • @blackpenredpen
      @blackpenredpen  6 років тому

      Kelfran Gt lol. Btw, have u received the shirt?

    • @KelfranGt
      @KelfranGt 6 років тому +1

      blackpenredpen No.. but from previous experiences it does take about 1 month to send something from other countries to my city, so I think it's normal.

    • @blackpenredpen
      @blackpenredpen  6 років тому +1

      Kelfran Gt oh ok. Please keep me updated. Thanks.

  • @AlgyCuber
    @AlgyCuber 6 років тому

    i made a similar method about 4 yrs ago, it's a bit better than yours, it's short division

  • @daneilblygin4919
    @daneilblygin4919 4 роки тому

    U talk to fast u do it too fast slow down

  • @kmac5912
    @kmac5912 6 років тому +1

    is there a function that when given a,c and d you can calculate b knowing that a b amount of up arrows c = d in Knuth's up-arrow notation