Hex is based on 16, where Dec is based on 10.
When you see a value, no matter if it's in dec, hex, bin, or something else,
think of each number as being number 0 (the right one), 1, 2, 3, and so on.
If you for instance have the decimal value 579:
Number 0 would be 9
Number 1 would be 7
Number 2 would be 5
When you have decimal, the system is based on 10, so you will have to use 10
to calculate your way to a result.
The number 579 can be calculated this way:
9 * 10^0 = 9
+
7 * 10^1 = 70
+
5 * 10^2 = 500
=
Result = 579
This seems pretty silly to calculate a value like that, but that's because
we're used to see the value in a 10-based format.
Okay, let's take your first 16-based (hex) value - F00.
Again, from right to left:
Number 0 is 0
Number 1 is 0
Number 2 is F (15 in decimal)
Instead of using the number 10 to calculate, you will need to use the number
16 to calculate:
The value F00 in hex can be calculated this way:
0 * 16^0 = 0
+
0 * 16^1 = 0
+
F * 16^2 = 3840
=
Result = 3840
You can with hex make words if that helps you remember the value, as long as
you do not use letters above F.
For instance, the value ABBA would be a good one to use for a Swedish
Ericsson Server (if they exist), and the value would be calculated like
this:
A * 16^0 = 10
+
B * 16^1 = 176
+
B * 16^2 = 2816
+
A * 16^3 = 40960
=
Result = 43962
If this is still a little confusing, the let's continue with your second
value, and break it up a little more:
2F2
First number is 2 (2 decimal) which must be multiplied by 16^0 (1).
The result is 2.
Second number is F (15 decimal) which must be multiplied by 16^1 (16).
The result is 240.
The third number is 2 (2 decimal) which must be multiplied by 16^2 (256).
The result is 512.
The final result will therefore give us 2+240+512 = 754 decimal.
Conversions between all systems other than decimal is much easier, because
they are based on what I call double up. If you start with binary. Binary is
based on 2. When you double up, you will get 4. Next time you will get 8. 8
is the number that Octal is based on, but that's not used much anymore. Next
time you will get 16. 16 is the number that Hex is based on.
Now, you can see that going from hex to binary will be easier. Hex numbers
goes from 0 to 15, and binary goes from 0 to 1. So that means that four
binary numbers matches one hex number.
An example:
The hex number F00 again. If you take each number and convert it to binary,
it is much easier.
0 = 0000
0 = 0000
F = 1111
Result = 1111 0000 0000
You can now convert the binary number to octal, which is based on three
binary numbers instead of four.
First, put spaces in between every third to make it easier:
111 100 000 000
You can see that it is the same binary number as above, but it looks
different now.
Now convert to Octal:
000 = 0
000 = 0
100 = 4
111 = 7
Octal result = 7400
Some people prefer to use binary when converting from hex to decimal.
Again, let's take the F00.
>From Hex to Bin:
F 0 0 = 1111 0000 0000
Let's split the binary numbers up:
0 * 2^0 (1) = 0
0 * 2^1 (2) = 0
0 * 2^2 (4) = 0
0 * 2^3 (8) = 0
0 * 2^4 (16) = 0
0 * 2^5 (32) = 0
0 * 2^6 (64) = 0
0 * 2^7 (128) = 0
1 * 2^8 (256) = 256
1 * 2^9 (512) = 512
1 * 2^10 (1024) = 1024
1 * 2^11 (2048) = 2048
RESULT = 3840
If you look at the first calculation we did in the beginning, you can see
that I came to the same result.
Hth,
Ole
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Ole Drews Jensen
Systems Network Manager
CCNP, MCSE, MCP+I
RWR Enterprises, Inc.
[EMAIL PROTECTED]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
http://www.RouterChief.com
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
NEED A JOB ???
http://www.oledrews.com/job
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-----Original Message-----
From: Mckenzie Bill [mailto:[EMAIL PROTECTED]]
Sent: Thursday, March 14, 2002 8:02 AM
To: [EMAIL PROTECTED]
Subject: Hex to Decimal for the RD [7:38223]
Could someone help me get a clear understanding of converting the hex number
to a nice decimal ring number or bridge number.
Two examples that have me stumped are:
F00 and 2f2.
Thanks Everyone in advance.
Message Posted at:
http://www.groupstudy.com/form/read.php?f=7&i=38238&t=38223
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