Re: The text illusion

Hi Folks,

What is the altitude?

           <altitude>0</altitude>

 

The altitude is zero (0), right?

 

No, the altitude is 48. I will now prove it.

 

The content (value) of <altitude> is a single character and that character is represented by hex 30. You can see this if you open the XML in a hex editor:

 

Note: hex 30 equals decimal 48.

So, if we interpret the value of <altitude> as a bunch of bits representing a number, then the answer to the question is this: The altitude is 48.

Q.E.D.

My “proof” is flawed. My proof assumed the bits within <altitude> represents a number. However, bits can represent anything. XML chooses to represent all bits as an encoding of characters. In the ASCII character encoding scheme, the bits 0011 0000 (hex 30) represent the character ‘0’. So the altitude is ‘0’.

Now, you might want to convert the character ‘0’ to a number (cast the value of <altitude> to a number). Such a converter will need to know (a) the bits are an encoding of a character, (b) the bits are an encoding of an ASCII character (and not, say, an EBCDIC character), (c) the character is a character version of a digit (e.g., ‘0’ is a character version of the digit 0), and (d) how to convert the character digit to a numeric digit.

Lesson Learned: When you look at XML you might think you are seeing numbers but you are not. It’s an illusion. You are merely seeing characters.

/Roger