2nd try without HTML!
Don't have a good site, but perhaps this will help. BTW, this assumes
(and we all know how dangerous that is) that you are fairly comfortable
with binary math. If you aren't, I suggest you visit
www.learntosubnet.com
and review their section on binary math.
Converting from Hex is quite simple if you use Binary as your conversion
medium or what I call the Nibble Method. Since Hex is Base16 and Binary
is Base2, you can think of Hex as shorthand for Binary. In Binary each
column position has a range of two values ( 0 or 1 ). In Hex each
column
position has a range of sixteen values (0-9 & A-F, where A=10, B=11,
C=12, D=12, E=14, F=15). And finally, in Decimal each column position
has a range of ten values (0 - 9).
>From this we can see that it takes four bit positions in binary to
represent
all the possible values of one hex position. For example, with one
binary
nibble (four bits):
binary hex binary hex binary hex binary hex
0000 = 0 0100 = 4 1000 = 8 1100 = C
0001 = 1 0101 = 5 1001 = 9 1101 = D
0010 = 2 0110 = 6 1010 = A 1110 = E
0011 = 3 0111 = 7 1011 = B 1111 = F
Thus any two character HEX number (as Hex is normally displayed) can be
converted to binary simply by converting each character separately.
HEX: A D E 7
thus
BINARY: 1010 1101 1110 0111
thus
DECIMAL: 128+32+8+4+1 = 173 128+64+32+4+2+1 = 231
PROOF: 16^0=1, D * 1 = 13*1 = 13
16^1=16, A * 16 = 10 * 16 = 160
160 + 13 = 173
Larger Hex numbers are also easily converted
HEX: 6 B F
thus
BINARY: 0110 1011 1111
thus
DECIMAL: 1024+512+128+32+16+8+4+2+1 = 1727
PROOF: 16^0 = 1, F * 1 = 15 * 1 = 15
16^1 = 16, B * 16 = 11 * 16 = 176
16^2 = 256, 6 * 256 = 1536
1536 + 176 + 15 = 1727
Going from Decimal to Hex is just a reverse of the above process.
Convert the Decimal number to Binary, divide the binary bits (working
right to left) into Nibbles and then convert each Nibble to Hex.
When converting Decimal to Binary I prefer the division by two method.
You divide the Decimal number by two and the remainder becomes the
first binary bit, working from right to left.
DECIMAL: 792
CONVERSION: 792/2 = 396 Remainder 0, BINARY = 0
396/2 = 198 Remainder 0, BINARY = 00
198/2 = 99 Remainder 0, BINARY = 000
99/2 = 49 Remainder 1, BINARY = 1000
49/2 = 24 Remainder 1, BINARY = 1 1000
24/2 = 12 Remainder 0, BINARY = 01 1000
12/2 = 6 Remainder 0, BINARY = 001 1000
6/2 = 3 Remainder 0, BINARY = 0001
1000
3/2 = 1 Remainder 0, BINARY = 1 0001
1000
1/2 = 0 Remainder 1, BINARY = 0011
0001 1000
^^ Padded to make a nibble
BINARY: 0011 0001 1000
HEX: 3 1 8
PROOF: 16^0 = 1, 1 * 8 = 8
16^1 = 16, 16 * 1 = 16
16^2 = 256, 256 * 3 = 768
768+16+8 = 792
Another method was provided by Priscilla in a response to a similar
question by
someone else. Whichever you use, just remember that practice is the key
to
understanding.
HTH,
Tom Lisa, Instructor, CCNA, CCAI
Community College of Southern Nevada
Cisco Regional Networking Academy
[EMAIL PROTECTED] wrote:
> Does anyone know a good Web site to learn about the Structure of Hex
> Numbers
> and how to convert, from Hex to Binary, to Dec and back and forth
> between
> the systems and IPX Addresses also.
>
> TIA,
>
> Jess
>
> _________________________________
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