I was teaching C to my younger brother studying engineering. I was explaining him how different data-types are actually stored in the memory. I explained him the logistics behind having signed/unsigned numbers and floating point bit in decimal numbers. While I was telling him about char type in C, I also took him through the ASCII code system and also how char is also stored as 1 byte number.
He asked me why 'A' has been given ascii code 65 and not anything else ? Similarly why 'a' is given the code 97 specifically ? Why there's a gap of 6 ascii codes between the range of capital letters and small letters ? I had no idea of this. Can you help me understand this, since this has created a great curiosity to me as well. I've never found any book so far that has discussed this topic.
What is the reason behind this ? Are ASCII codes logically organized ?
There are historical reasons, mainly to make ASCII codes easy to convert:
Digits (0x30 to 0x39) have the binary prefix 110000:
0 is 110000
1 is 110001
2 is 110010
etc.
So if you wipe out the prefix (the first two '1's), you end up with the digit in binary coded decimal.
Capital letters have the binary prefix 1000000:
A is 1000001
B is 1000010
C is 1000011
etc.
Same thing, if you remove the prefix (the first '1'), you end up with alphabet-indexed characters (A is 1, Z is 26, etc).
Lowercase letters have the binary prefix 1100000:
a is 1100001
b is 1100010
c is 1100011
etc.
Same as above. So if you add 32 (100000) to a capital letter, you have the lowercase version.
This chart shows it quite well from wikipedia: Notice the two columns of control 2 of upper 2 of lower, and then gaps filled in with misc.
Also bear in mind that ASCII was developed based on what had passed before. For more detail on the history of ASCII, see this superb article by Tom Jennings, which also includes the meaning and usage of some of the stranger control characters.
Here is very detailed history and description of ASCII codes: http://en.wikipedia.org/wiki/ASCII
In short:
- ASCII is based on teleprinter encoding standards
- first 30 characters are "nonprintable" - used for text formatting
- then they continue with printable characters, roughly in order they are placed on keyboard. Check your keyboard:
- space,
- upper case sign on number caps: !, ", #, ...,
- numbers
- signs usually placed at the end of keyboard row with numbers - upper case
- capital letters, alphabetically
- signs usually placed at the end of keyboard rows with letters - upper case
- small letters, alphabetically
- signs usually placed at the end of keyboard rows with letters - lower case
The distance between A
and a
is 32. That's quite round number, isn't it?
The gap of 6 characters between capital letters and small letters is because (32 - 26) = 6. (Note: there are 26 letters in the English alphabet).
If you look at the binary representations for 'a' and 'A', you'll see that they only differ by 1 bit, which is pretty useful (turning upper case to lower case or vice-versa is just a matter of flipping a bit). Why start there specifically, I have no idea.
- 'A' is 0x41 in hexidecimal.
- 'a' is 0x61 in hexidecimal.
- '0' thru '9' is 0x30 - 0x39 in hexidecimal.
So at least it is easy to remember the numbers for A
, a
and 0-9
. I have no idea about the symbols. See The Wikipedia article on ASCII Ordering.
Wikipedia:
The code itself was structured so that
most control codes were together, and
all graphic codes were together. The
first two columns (32 positions) were
reserved for control characters.[14]
The "space" character had to come
before graphics to make sorting
algorithms easy, so it became position
0x20.[15] The committee decided it was
important to support upper case
64-character alphabets, and chose to
structure ASCII so it could easily be
reduced to a usable 64-character set
of graphic codes.[16] Lower case
letters were therefore not interleaved
with upper case. To keep options open
for lower case letters and other
graphics, the special and numeric
codes were placed before the letters,
and the letter 'A' was placed in
position 0x41 to match the draft of
the corresponding British
standard.[17] The digits 0–9 were
placed so they correspond to values in
binary prefixed with 011, making
conversion with binary-coded decimal
straightforward.