It's based on the number 16. It uses the digits 0 to 9 PLUS the letters A to F.
For example - counting up from 1 to 20...
01 = 01... 11 = 0B... 21 = 15
02 = 02... 12 = 0C... 22 = 16
03 = 03... 13 = 0D... 23 = 17
04 = 04... 14 = 0E... 24 = 18
05 = 05... 15 = 0F... 25 = 19
06 = 06... 16 = 10... 26 = 1A
07 = 07... 17 = 11... 27 = 1B
08 = 08... 18 = 12... 28 = 1C
09 = 09... 19 = 13... 29 = 1D
10 = 0A... 20 = 14... 30 = 1E etc...
0xFFEF + 1 = 0xFFF0.
That can't be an octal number; it has an 8 in it.
Computers do much of their processing in binary. Hexadecimal is used as a kind of shortcut (easier to read for humans): each hexadecimal digit represents four binary digits.
13541
Hexa-decimal representation is given by, * 24 - 18 * 25 - 19 * 30 - 1E
It is C
0xFFEF + 1 = 0xFFF0.
That can't be an octal number; it has an 8 in it.
6 and 8, but: Hexa as in Hexa-Decimal mean 16 number system. ie: 0123456789ABCDEF : 16 digits. 10 decimal + 6 hexa. Octa as in a numbersystem mean 8 number system. ie: 01234567 : 8 digits. A Hexagon is a polygon with 6 sides. An Octagon has got 8 sides. Examples of numbers in these number systems: 10, 12, 14 =Decimal A, C, E = HexaDecimal 12, 14, 16 = OctaDecimal All representing the same number just in different systems. Additional information: We use the Decimal number system because it is by far the easiest to do calculations with. It has become a world wide standard. We use HexaDecimal and Binary in computers. Octa as in a number system has got no widespread uses as to my knowledge. It might be used in various coding schemes to make information less obviously visible.
(159)decimal = (9F)HEX
Computers do much of their processing in binary. Hexadecimal is used as a kind of shortcut (easier to read for humans): each hexadecimal digit represents four binary digits.
The hexadecimal system is a base 16 system, just as binary is base 2 and decimal is base 10. The same way that a binary system is more practical for hardware and software implications, hexadecimal is great for easy viewing of binary numbers. It's a lot easier, in the opinion of most, to look at 1FE4 than it is to get the same information as quickly from 0001111111100100. Hexadecimal numbers can also be easily converted to the seven segment display commonly used on electric signs and scoreboards to display numbers and some letters.
If you continue adding one more, the next number is F10. (F means 15, and that is the largest number that fits into a single digit.)
It is 1010101111001101.
13541
You don't use binary because it's very hard reading a bunch of zeros and ones. You use hexa because each hexa digit corresponds to 4 bits, this makes it very easy to convert from hexa do binary and vice versa. For a similar reason you use octal because each digit corresponds to 3 binary digits. Example: 0101 10102 Has 8 binary digits so it will be 2 hexa digits: 01012 = 516 , 10102 = A16 So the full number will be: 0101 10102 = 5A16 This works for hexa and octal because 16 and 8 are powers of 2, it would also work for 4, 32, 64 or any other ower of 2 . Since 10 for decimal notation is not a power of 2 converting from binary is not so direct.
24.6391 is represented in IEEE real*4 (32-bit real number) as: 0x41c51ce0 (big-endian) 0xe01cc541 (little-endian)