question?

[playdo]

do any of you know to write/solve base 16 or hex, if so could u explain it to me in a way that is easy to understand?

[Cap'n Refsmmat]

What do you mean by "write/solve"? You mean convert it into base 10?

[Klaynos]

instead of with decimal numers each col is the value in the col * value of the col so:

 

ABC

 

(where ABC are all digits)

 

Would be C*1 + B*10+ A*100, you could write this as: C*10^0+B*10^1+A*10^2.

 

Now if this number was a hex number it'd be:

 

C*16^0+B*16^1+A*16^2

 

You just need to work out the number which has to go into each coloumn when swapping between the two.

 

This is not a perfect way of describing it but it's better than nothing...

[playdo]

im still quite confused

 

Base 16 (Hexadecimal) Numbering system

 

Digits used are the Indian/Arabic numbers 0 thru 9 and the English letters A thru F. A represents 10, B represents 11, C - 12, D - 13, E - 14 and F - 15. Each number occupies a place value. When F is reached, the value goes to 0 and 1 is added to the next place value.

 

0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F,10,11,12,13,14,15,16,17,18,19,1A,1B,1C,1D,1E,1F,20,etc

 

Each place value to the left is equal to 16 times the place value to the right which implies that each place value to the right is equal to the place value to the left divided by 16.

 

continuing infinitely <- 65536,4096,256,16,1

 

Hexadecimal is used to represent binary data. Its use applies primarily to the representation of letters and numbers as they are stored in computers. One hex digit represents 4 binary digits. Thus using hex it is possible to represent groups of binary digits (bits) using the numbers 0 thru 9.and the letters A thru F. Octal also represents binray data, but octal represents 3 binary digits. It uses the numbers 0 thru 7 with no letters needed.

^^^^^^^^^^^^^^^^^^^^^^^^^^^^

your description and his don't sound anything alike

[Bluenoise]

Maybe not but they're both right. Why don't you try this number "1AF5" and se what you get with Klaynos's example.

[playdo]

doesa this mean u can only create letters a-f with this code?

[playdo]

u want me to turn that into binary?

 

because that's exactly where im confused

 

help...

[Bluenoise]

No I mean turn that into base 10. Like so

1AF5

= 5 x 16^0 + 15 x 16^1 + 10 * 16^2 + 1 * 16^3

= 6901

 

remember F = 15 and A = 10.

 

Try that with B89D

[playdo]

gaaaah im an idiot, i still don't understanad the formula, this is agitating lol

[playdo]

wait, im looking at achart and b=11,8=08,9=09,andd=13, or 1011,1000,1001, and 1101

 

it's like decimal and binary from hex or sumthing, explain maybe?

[Bluenoise]

it's like decimal and binary from hex or sumthing, explain maybe?

 

I have no idea what you just said...

[Rocket Man]

try counting in hexadecimal

one, two,... nine, A,... F, ten, eleven...

 

the formula is very simple when you actually see what's going on.

 

1AF5

= 5 x 16^0 + 15 x 16^1 + 10 * 16^2 + 1 * 16^3

= 6901

 

do it as if you were converting base ten to base ten. (not productive at all but you get the idea)

 

say you have the base ten number: 2587

break it up. 2, 5, 8, 7

multiply the 7 by it's position (ones column) [math]7*10^0[/math]

then do that with all the others then add them together. so you end up with

[math]2*10^3 + 5*10^2 + 8*10^1 + 7*10^0[/math]

which simplifies down to:

[math]2000 + 500 + 80 + 7[/math]

replace the tens with sixteens and you can convert base 16 to base 10

[Callipygous]

im confused about what exactly your trying to figure out. this in particular has me wondering: "doesa this mean u can only create letters a-f with this code?"

 

only 1-9 and a- f are used in the code, but using ascii you can represent any number of things with it.

 

in response to some of my fellows who are trying to help, maybe start him out on something smaller than a 4 digit hex number? figuring out 16 cubed, while trying to understand the whole concept, is probably just going to be more confusing. i understand how it works, but looking at the break down of a 4 digit number confuses me too.

nothing about "5 x 16^0 + 15 x 16^1 + 10 * 16^2 + 1 * 16^3" is easy to read.

 

try taking it one digit at a time

 

F= 15

F0= 15x16 + 0

F00= 15x16^2 + 0 + 0

[playdo]

wait so, to get decimal or base ten u have to change the 10's to 16's. but where, in the scientific notation part of ur thing or in the 2000+5000etc. part

[Callipygous]

the difference between a hex number and a decimal number (as far as converting them is concerned) is what the value of each column is.

in decimal it goes like this:

 

1000s|100s|10s|1s

each one being a higher power of the base number. 10^3 10^2 10^1 and 10^0

 

in hex its:

 

4096s|256s|16s|1s

each one being a higher power of 16. 16^3 16^2 16^1 and 16^0

 

take F3A

 

the three columns are not 1s, 10s, and 100s. they are 1s, 16s, 256s.

 

so F (which represents 15) in the 3rd column means 15x16^2. which is 15x256, or 3840

 

3 in the second column means 3x16^1. which is just 3x16. or 48

 

A (10) in the first column is 10x16^0. which is 10x1. or just 10

 

to get the number in decimal you add those three together.

 

10+48+3840 to get 3898.

[playdo]

so, if i wanted to do

 

B23 it would be

 

b=2816

2=32

3=3

 

so...just wingin it here

 

2816+32+3=2851, which is the decimal #?

[Callipygous]

i didnt check your addition but

"B23 it would be

 

b=2816

2=32

3=3"

is correct

[playdo]

sweet!

 

 

what if there is a fifth # would the column be 1,048,576

[Callipygous]

16^5   |16^4 |16^3|16^2 |16^1|16^0
1048576|65536|4096|256  |16  |1

 

so that would be the 6th column

[Rocket Man]

hex is a convenient way of writing four binary digits in one hex digit.