[~*HOOR*~]

Hello
I would want somebody to explain me how to add two hex nos.for eg:I have thse two numbers F190 and 23F1.How do I add 9 and F?
Thanks..

[userlouis]

~*HOOR*~, on 7 May, 2009 - 11:03 PM, said:

Hello
I would want somebody to explain me how to add two hex nos.for eg:I have thse two numbers F190 and 23F1.How do I add 9 and F?
Thanks..

the easiest way for me to do it is to convert the number to binary then add them

F=1111 1=0001 9=1001 0=0000

2=0010 3=0011 F=1111 1=0001

11 1 111111
1111000110010000
+ 0010001111110001
__________________________
10001010110000001 =11581

[~*HOOR*~]

Thanks.Thats easy for me too but still I would wanna know as to how we can add them directly
Thanks

[baavgai]

Think about it. In base ten, how do you add 9 and 3? When you give 1 to 9, it shifts over to the next postion up and you're left with two.

Base 16, same deal.

e.g. 9 + F = 8 + 10 = 18

  F190
  23F1
  ----
	 1
	8  
   5   +1
  1	+1
 1
-------
 11581

[~*HOOR*~]

I still didn't get it.How come 9+F=8+10?
sorry but I am a dumbhead^^

[schnalf]

~*HOOR*~, on 8 May, 2009 - 02:00 AM, said:

I still didn't get it.How come 9+F=8+10?
sorry but I am a dumbhead^^

10 is not a decimal 10, it is a hexadecimal 10.
F (decimal 15) + 9 (decimal 9) = 18 (decimal 24)
because:
F (decimal 15) + 1 (first part of the 9) = 10 (decimal 16)
10 (decimal 16) + 8 (rest of the 9) = 18 (decimal 24)

i hope it helps you to understand

[~*HOOR*~]

I think I got it..Thanks a lot .

[baavgai]

~*HOOR*~, on 8 May, 2009 - 04:00 AM, said:

I still didn't get it.How come 9+F=8+10?

You're counting. 0,1,2,3,4,5,6,7,8,9 and you've run out of symbols. You need to represent one more that the last sybol, so you move up a place, in this case 10. What 10 says in base10 that I have (1x10) + (0x1). So base10 256 is read as (2x100) + (5x10) + (6x1). The position of digits represents a power of the base, so 256 = (2x10^2) + (5x10^1) + (6x10^0). We don't ususally think of it like that, but thats what the system means.

So, you're counting. 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F and you've run out of symbols... In the above I cheated, because I ultimately had to express things in a base10 system. Techinally, I should say that 256 in a base16 system is (2xF^2) + (5xF^1) + (6xF^0).

So, after F, we continue 10,10,11,12,13,14,15,16,17,18,19,1A,1B,1C,1D,1E,1F,20, 21. and so on.

9 + F = 1 + 8 + F, right? And the next number after F is 10. Forget addition and subtraction. Just think about counting. You'll get it.

[NickDMax]

The only difference between decimal arithmetic and hexadecimal arithmetic is the value of the base.

So think about what happens when you add 8 + 5, start counting up from 8, 5 places, 8 9 -- well we ran out of digits so start a new column and we get 10, 11, 12, 13... therefore 8 + 5 = 13

so in hex: 9h + Fh is, 9h, Ah, Bh, Ch, Dh, Eh, Fh... here we have to move over to the 16's place, 10h, 11h, 12h, 13h, 14h, 15h, 16h, 17h, 18h.


So in decimal we tend to complete 10's -- 8 + 5 == (8 + 2) + (5 -2) = 10 + 3.

9h + Fh = (9h + 7h) + (Fh - 7h) = 10h + 8h = 18h


Remember in hex 10h is 16 decimal. 20h is 2*16=32 decimal.