CLLinIA - 2004-03-30 1:02 PM
okay math geeks, you want to teach us all to count in hexadecimal or you want to answer the question?
.
We use a decimal base with units of ten. This is just a general workable agreement and wasn;t always thus. For instance Babylon math had a 60 base.
Lets look at base 10. We have 10 units 0,1,2,3,4,5,6,7,8,9. At the point when increasing numbers we used a Ten unit and preface wit a 1, so the system reverts to 0 but with a 1 in front of it. Ie 10.
Using the system we can then go 0,1,2,3,4,5,6,7,8,9,10,11,12, etc.
With a different base it means we no longer use the decimal system. For instance base 7 has 6 as its highest digit the nuber order here would be 0,1,2,3,4,5,6,10,11,12,13,14,15,16,20
With a base above 10 then other symbols must be used
For instance in base 14 we can show the numbers – assuming that after 9 we use a,b,c,d,e for numbers. I’ll do a listing of decimal numbers with base 7 next to it and base 14 next to that.
Decimal base 7 base 14
0 0 0
1 1 1
2 2 2
3 3 3
4 4 4
5 5 5
6 6 6
7 10 7
8 11 8
9 12 9
10 13 a
11 14 b
12 15 c
13 16 d
14 20 10
15 21 12
16 22 13
17 23 14
18 24 15
19 25 16
20 26 17
21 30 18
22 31 19
23 32 1a
24 33 1b
So 22 strokes per length in decimal becomes 31 in base 7 and 19 in base 14. Solved
Hexadecimal uses base 16 which is why you see the symbols a to f.
Heres a pretty good explanation and its also a good site for other math issues.
http://mathforum.org/library/drmath/view/55739.html
If that doesn’t explain it then I’m stuck and can only suggest one of the other people have a crack at it
(who will be better than I at explaining
) or check out google