Hexadecimal

Discussion in 'A+' started by Mr.Cheeks, May 15, 2006.

  1. Mr.Cheeks

    Mr.Cheeks 1st ever Gold Member! Gold Member

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    just a quickie - could some explain to me what hexadecimal is in A+ terms... there is someone in my head thats saying to me that is something to do with Maths...
     
  2. zimbo
    Honorary Member

    zimbo Petabyte Poster

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    0-9 is as is!
    then:
    A = 10
    B = 11
    C = 12
    D = 13
    E = 14
    F = 15


    thats all it is! oh and when you want to say 15 its not just F but 0F :biggrin
     
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  3. Malnomates

    Malnomates Megabyte Poster

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    Ok,i like a challenge.

    We know about our native numbering system,that is 0 through 9,right?

    By now we also know about binary numbering,1's & 0's,right?

    So the next hurdle to challenge the weary A+ student,like me,is Hex a.k.a the HEXADECIMAL numbering system.

    Hex uses a base 16 system,from 0 through 15.Since we only have 0,1,2,3,4,5,6,7,8,9 to represent numbers from 0 to 9, hexadecimal (we'll call it 'hex' from this point onwards) represents numbers 10,11,12,13,14,and 15 with the letters A,B,C,D,E and F..as follows

    No. Hex
    0 .... 0
    1 .... 1
    2 .... 2
    3 .... 3
    4 .... 4
    5 .... 5
    6 .... 6
    7 .... 7
    8 .... 8
    9 .... 9
    10 .. A
    11... B
    12... C
    13... D
    14... E
    15... F

    Now,take an 8 bit binary number,say 10111101......10111101 = 189.
    To work out the Hex equivalent of 10110101 we need to break down the binary number into blocks of 4 bit binaries.So 10111101 would become 1011 and 1101 (this applies to higher bit binary numbers,12 bit,16 bit,20 bit and so on,break them down into blocks of 4 bit binaries)..

    Ok,1011,thats easier to work with and 1101 is a doozy.
    1011 is binary equivalent for 11
    1101 is binary equivalent for 13

    11=B
    13=D

    Hex is truly represented as a 4 digit code so BD will be displayed as 00BD.

    00BD = 10111101 = 189

    hex to binary to decimal.

    The GOLDEN rule is to break the binary number down into 4 bit binaries.

    I need a beer.
     
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  4. Bluerinse
    Honorary Member

    Bluerinse Exabyte Poster

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  5. phoenix510

    phoenix510 Byte Poster

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    Nice one Bluerinse and Malnomates have been reading about hex in mike myers all in one and your posts basically put the icing on the cake.

    :biggrin
     
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  6. mikehende

    mikehende Kilobyte Poster

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  7. hbroomhall

    hbroomhall Petabyte Poster Gold Member

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    This isn't hexadecimal, but binary.

    First remember the 'decimal values' for the bits - i.e. each is 2 X the previous:
    1 2 4 8 15 32 64 128 (for eight places). So 10111101 is 128 *1 + 64 * 0 + 32 * 1 + 16 * 1 8 * 1 + 4 * 1 + 2 * 0 + 1

    This totals to 189 decimal.

    To go to hexadecimal the easiest is to split the binary into blocks of 4 - 1011 1101. The first 'nibble' is B, the second is D, so this equates to BD in hex.

    Harry.
     
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  8. mikehende

    mikehende Kilobyte Poster

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    I need more than one! I will go regroup now then tomorow re-read everything and try to come up with my own chart to see if I fully understand all of this and will post back here for you guys to correct me if I'm wrong, if you will.
     
  9. Malnomates

    Malnomates Megabyte Poster

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    There is a binary thread in the forum,have a gander at that one and see if the mists clear.. 8)
     
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  10. mikehende

    mikehende Kilobyte Poster

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    If you mean this thread

    http://www.certforums.co.uk/forums/thread10528.html

    All I can say is, Mike finally understands what Binary means [for A+, at least], THANKS!!!! :biggrin

    No offense to any of the others here who tried to explain this, we all explain things in different ways, fortunately for me, Malnomates's explanation was easiest for me to understand, now let me go see if I can understand Hex.
     
  11. mikehende

    mikehende Kilobyte Poster

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    ok, got the Hex thing down from reading the posts above, thanks for creating this thread Cheekmaster.
     
  12. rwilmot

    rwilmot Nibble Poster

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    one day i will understand... just found more info on hex and binary, will share documents if needed. Hey i know, what we need on this site is a Member area where we can all submit notes documents and useful info etc? or am i being an idiot?
     
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  13. Mr.Cheeks

    Mr.Cheeks 1st ever Gold Member! Gold Member

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    we do that anyway - share useful info, with the notes, you'd be lucky if you could read mine, i just about read it myself!
    notes are notes, the person who are writing them, are writing them for themselves...
     

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