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oib111
I post too much
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Joined: 02 Apr 2007
Posts: 2947
Location: you wanna know why?
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 Posted: Thu Aug 30, 2007 6:34 pm Post subject: Binary, hex, ,dec conversion tutorial. |
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Now I'm sure most people know how to do this, but I am doing this for people who dont. First off, binary is base 2, hex is base 16, and dec is base 10.
Binary = binary. Hex = hexadecimal Dec = Decimal.
Binary to Dec
I will take the binary value and give you the equivalent of dec.
Now the way this was achieved is really simple. Since binary is base 2, the only numbers you have is 1 and 0. And each new column is to the next power. The first one is 2^0=1. The second is 2^1=2. The next is 2^2=4. And the last column is 2^3=8. And remeber, you go from right to left, so its 1 not 8.If you didn't understand all the ^'s just think about doubling the value of each column. Now you might understand it more and think about it this way.
| Code: |
8|4|2|1
-------
0 0 0 1
8*0=0
4*0=0
2*0=0
1*1=1
0+0+0+1=1
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Now I will do something that might be a bit harder.
This may seem confusing to you because we only have used four columns and you might have thought there were only four, but there aren't. Others might have already guessed this in which case. I want you to now convert it and check your answer against mine.
| Code: |
64*1=64
32*1=32
16*0=0
8*1=8
4*0=0
2*0=0
1*1=1
64+32+0+8+0+0+1=105
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If you got the answer 105 you are right, if not read over how to convert. Now here are some for you t do that range from hard to medium to easy.
Hex To Dec
Well I will do the same hting I did as binary to dec. I will give a value in hex and do its equivalent in dec. And really you think the same way as you would in binary to dec. Just the column values are different since its base 16.
And the reasoning behind that is this.
| Code: |
4 = 4*16=64
C = 12*1=12
64+12=76
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Pretty simple. But there are 16 numbers and letters together you can use. 0123456789ABCDEF
A through F is 10-15. It was made like that for simplicity. Anyways, you might not have picked up the whole column value thing. So I'll help.
The first column(C) is 16^0=1. The second column(4) is 16^1=16. So if you think about it that way...
| Code: |
16|1
----
4 C
4=4*16=64
C=12*1=12
64+12 = 76
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F
Now if your confused still by what I mean by the column value thing. It is really essentially values assigned to each digit column in a number that increased by the base to the next power. You then multiply that value by the digit in that column.
Now a harder one you can do and check the answer against mine.
| Code: |
F=15*65536=983040
C=12*4096=49152
4=4*256=1024
A=10*16=160
8=8*1=8
983040+49152+1024+160+8=1033384
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If you got the answer 1033384 you are right, if not read over how to convert. Now here are some for you t do that range from hard to medium to easy.
Binary to Hex
Sadly this part was decided to not be put on beacuse I had been waiting to put this part on for hours and by the time I got back to this post I was just too darn tired to do anything. So enjoy your unfinished tutorial 
_________________
| 8D wrote: |
cigs dont make people high, which weed does, which causes them to do bad stuff. like killing |
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fuzzy
Cheater
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Joined: 28 Aug 2007
Posts: 28
Location: In an old women's boot
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| Posted: Thu Aug 30, 2007 6:45 pm Post subject: |
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wao... it makes perfect sense!
_________________
IF QUIZES ARE QUIZICLE THEN WHAT ARE TESTS?
btw my avatar is ment to be a joke >_>
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