Just a hex headache that came to me

[Wolfie]

well here we go

514 in hex would be like this: 51 x 16 = 816 \ 10 = 81.6 - 0.4 = 81.2 x 16 = 1300

right?

hex only work in whole numbers so it would be 1300 right? or 1299?

EDIT: i tried calculating to decimals (normal numbers) so, am i right?

[Tunicle]

This could be ollocks but, hexadecimal is base 16

so the “orders of magnitude” are
1, 16, 256, 4096 etc.  (in decimal it would be 1, 10, 100, 1000 etc.)

With 514 it has  
2 x 256  (i.e. 512 with 2 remaining)
0 x 16’s
2 x 1’s

so I make it 202

[Wolfie]

well, the calc agreed with me

now this is a problem, was bored on school earlier, so i managed to get 856 (in hex) to 2134 (in dec)

now how would that be possible?

i got to have 133,37…and that i wont get calculating from 856

i came to this:

85 * 16 = 1360 \ 10 = 136 - 0.6 = 135.4 x 16 = 2166

but that isnt correct either, how could i get that 2134?

[w0dk4]

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

8x256 = 2048

• 5x16 = 80
• 6x1 = 6
  = 2134

(16² -> 256)

[Wolfie]

why 8x256?

sorry im an idiot ;D

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

[Tunicle]

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)

[w0dk4]

@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

[Zyos]

Lots of pretty numbers in here :S

[FriendlyFire]

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

[Wolfie]

i know what A-F means, also 10 = 16

just couldnt find out of that one

[Roo Avery]

Uhm… yeah… and in English!!!

Seriously guys, my head hurt just reading that.

[foxUnit01]

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

[mknote]

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

MK

[Wolfie]

yeah i know, but still, i do maths at school thinking hex