coreutils: Numeric Modes

 
 27.3 Numeric Modes
 ==================
 
 As an alternative to giving a symbolic mode, you can give an octal (base
 8) number that represents the mode.
 
    The permissions granted to the user, to other users in the file’s
 group, and to other users not in the file’s group each require three
 bits: one bit for read, one for write, and one for execute/search
 permission.  These three bits are represented as one octal digit; for
 example, if all three are present, the resulting 111 (in binary) is
 represented as the digit 7 (in octal).  The three special mode bits also
 require one bit each, and they are as a group represented as another
 octal digit.  Here is how the bits are arranged, starting with the
 highest valued bit:
 
      Value in  Corresponding
      Mode      Mode Bit
 
                Special mode bits:
      4000      Set user ID
      2000      Set group ID
      1000      Restricted deletion flag or sticky bit
 
                The file's owner:
       400      Read
       200      Write
       100      Execute/search
 
                Other users in the file's group:
        40      Read
        20      Write
        10      Execute/search
 
                Other users not in the file's group:
         4      Read
         2      Write
         1      Execute/search
 
    For example, numeric mode ‘4751’ corresponds to symbolic mode
 ‘u=srwx,g=rx,o=x’, and numeric mode ‘664’ corresponds to symbolic mode
 ‘ug=rw,o=r’.  Numeric mode ‘0’ corresponds to symbolic mode ‘a=’.
 
    A numeric mode is usually shorter than the corresponding symbolic
 mode, but it is limited in that normally it cannot take into account the
 previous file mode bits; it can only set them absolutely.  The
 set-user-ID and set-group-ID bits of directories are an exception to
 this general limitation.  ⇒Directory Setuid and Setgid.  Also,
 operator numeric modes can take previous file mode bits into account.
 ⇒Operator Numeric Modes.
 
    Numeric modes are always interpreted in octal; you do not have to add
 a leading ‘0’, as you do in C.  Mode ‘0055’ is the same as mode ‘55’.
 However, modes of five digits or more, such as ‘00055’, are sometimes
 special (⇒Directory Setuid and Setgid).