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Wednesday, December 14, 2022

[FIXED] Why are hexadecimal numbers prefixed with 0x?

 December 14, 2022     c, hex, syntax     No comments   

Issue

Why are hexadecimal numbers prefixed as 0x? I understand the usage of the prefix but I don't understand the significance of why 0x was chosen.


Solution

Short story: The 0 tells the parser it's dealing with a constant (and not an identifier/reserved word). Something is still needed to specify the number base: the x is an arbitrary choice.

Long story: In the 60's, the prevalent programming number systems were decimal and octal — mainframes had 12, 24 or 36 bits per byte, which is nicely divisible by 3 = log2(8).

The BCPL language used the syntax 8 1234 for octal numbers. When Ken Thompson created B from BCPL, he used the 0 prefix instead. This is great because

  1. an integer constant now always consists of a single token,
  2. the parser can still tell right away it's got a constant,
  3. the parser can immediately tell the base (0 is the same in both bases),
  4. it's mathematically sane (00005 == 05), and
  5. no precious special characters are needed (as in #123).

When C was created from B, the need for hexadecimal numbers arose (the PDP-11 had 16-bit words) and all of the points above were still valid. Since octals were still needed for other machines, 0x was arbitrarily chosen (00 was probably ruled out as awkward).

C# is a descendant of C, so it inherits the syntax.



Answered By - Řrřola
Answer Checked By - Timothy Miller (PHPFixing Admin)
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