Just a hex headache that came to me

Tunicle got it right, you have to multiply every base and then sum them up:

8x256 = 2048

• 5x16 = 80
• 6x1 = 6
  = 2134

(16² -> 256)

2134 to hex

8 in that example because you can only get 8 256’s out of 2134

8 x 256 = 2048, 9 x 256 = 2304 which will not fit, so you have
8 (256’s) then you go down to the next magnitude 256/16 = 16

2134 - 2048 (the 8 x 256 number) leaves 86

In that 86 there are 5 16’s thus your second number

you now have 6 left, equating to the 1 level of magnitude, your last number

so 2134 decimal = 856 hex  (8x256) + (5x16) + (6 x1)

Remember
in decimal 456 represents (4 x 100) + (5 x 10) + (6 x 1)

in hexiadecimal
456 represents (4 x 256) + (5 x 16) + (6 x 1)

@Wolfie:

why 8x256?

sorry im an idiot ;D

EDIT: yes im aware of hex decimals has to be multiplied by 16

lets convert the following to dec:
0x1111

you can convert any hex number in a base-multiply-format in dec, like this:
1111 (hex) = 1x16³ + 1x16² + 1x16¹ + 1x16º (dec)

some notes:
16º = 1
16¹ = 16
16² = 256
and so on

so, 0x39FB would be
3x16³ + 9x16² + 15x16¹ + 11x16º

some other notes:
a (hex) = 10
b = 11
c = 12
…
f = 15

Lots of pretty numbers in here :S

w0dk4’s method also allows you to convert just about any base to and from any base, such as binary numbers. You simply have to change the number’s base (in this case 16) to the one you want to convert from (in binary that’d be 2). The exponent is the place of the particular number (beginning at 0 for units and growing).

Don’t try to transform floating-point values with that though ;D

Uhm… yeah… and in English!!!

Seriously guys, my head hurt just reading that.

Now do a few pages of homework on it, Roo. Oh, and throw some hex<->binary and dec<->binary in there for good measure. =P

Also, yeah, the method w0dk4 mentioned is what I learned in my C++ class. Fun fact, but this can also be applied to binary as well - just multiply by 2x instead of 16x. So, 1101 in binary would be: 120 + 021 + 122 + 123 = 13
120 = 1
021 = 0
122 = 4
123 = 8
1+4+8 = 13

Now to go actually do my homework.

Edit: Oop, FF already beat me to it. Drat! =P

You know, you can just use a calculator that does hex ::)

MK