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hexadecimal?

leow
Greenhorn

Joined: Jan 18, 2002
Posts: 3
Using up to four characters, write the Java representation of integer literal 10 in hexadecimal.
ans: Any of the following are correct answers - 0x0a, 0X0a, 0Xa, 0xa, 0x0A, 0X0A, 0XA, 0xA
can anyone explain how to write 10 in hexadecimal format?
Rob Ross
Bartender

Joined: Jan 07, 2002
Posts: 2205
Hexidecimal is Base-16.
Normal decimal is Base-10. This means we have 10 unique symbols for each decimal "place" we count. They are the familiar 0,1,2,3,4,5,6,7,8,9.
In base-10, we can count up to and including 9 "things" in each place. when we count up to 9, we can't go any "higher" in that place, so using rules of base-10 addition, we add one more unit to the place just to the left, and reset the current place to zero. This is how we go from 9 to 10 in decimal math. (Thank the arabs for this revolution!! This is easier than going from IX to X)
Hexidecimal has 16 unique symbols for each place, meaning you can count up to 15 things for each position. Since we only have 10 symbols for our base-10 math, we have to come up with some extra symbols for those extra 5 units, so we borrow from our alphabet. Let's count to 15 using hexicecimal.
1
2
3
4
5
6
7
8
9
so far so good, just like regular decimal. Now, unlike decimal, we're not done counting in this column yet. Adding 1 to 9 in hexidecimal gives us
A //=10 in decimal
then we count
B // = 11 in decimal
C // = 12 in decimal
D // = 13 in decimal
E // = 14 in decimal
F // = 15 in decimal
Now we are out of symbols, so we add one to the next column and reset this one to zero
10
This 10 in hexidecimal is the same as writing 16 in decimal, because we counted 16 unique "things" to write it.
I hope this shows you how to write decimal 10 in hexidecimal now!

Rob
[ January 19, 2002: Message edited by: Rob Ross ]

Rob
SCJP 1.4
Roy Ben Ami
Ranch Hand

Joined: Jan 13, 2002
Posts: 732
you already know how to write 10 in hex
you gave the 10 possible answers.
as to why:
hex numbers are easier to understand by converting them to binary numbers (at least to me).
all hex numbers begin with the 0x thing in front of them just to tell us the the following number will be hex and not octal or binary etc...
then you can write up to four numbers or characters between 0 and F .
for me , to make thing easier i convert each number or character to a binary representaion like this:
if you got 0x1234 then it looks like this in binary:
0001 0010 0011 0100 ( 1 2 3 4 in binary)
now just sum it up in binary form which is easier, like: 2^12+2^9+2^5+2^4+2^2=4660
phew! so 0*1234 in hex is 4660.
now i mentioned that u can use also charcters a b c d e f which mean in binary: 10 11 12 13 14 15 .
so now lets take 0*a and see what we get:
a is 10 in binary (and also decimal so its quite easy). if we write it in binary you get:
1010 which is : 2^3+2^1 = 10
thats it
capital lettesr dont matter.
Valentin Crettaz
Gold Digger
Sheriff

Joined: Aug 26, 2001
Posts: 7610
leow,
We'd like you to read the Javaranch Naming Policy and register again.
Thank you for your cooperation


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Shivaji Marathe
Ranch Hand

Joined: Jan 11, 2002
Posts: 203
You can also make use of the Integer.toHexString method of the Integer class to check out the hex values of any base 10 number.
HTH
 
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