Cutting and renaming files

Could you clarify an ambiguity in your request?

The two-digit string you asked for at the end of the new file name, is that simply sequential? Or is it expected to be mathematically related (as in: "one less than the numerical value of") to the final digit sequence of the old file?

I am not clear about your question but the files need to be:
00
01
02
and so on.

The files comes in as:
001
002
003
so the output is one less.
It is sequential with 3 digits when they are coming. They need to be increasing sequential starting with 00 (two digits) when they are changed.

Does that answer your question?

#!bin/bash
n=100;
for f in abc.dat.xyz1234.??? ; do cut -d'|' -f 2- $f>${f%.*}.${n:1}; let ++n ; done

ozo, thank you for your solution. It almost works but I need to rename the files as:

abc.dat.xyz1234.001 becomes abc.dat.00
abc.dat.xyz1234.002 becomes abc.dat.01

After running your script, the files are becoming:
abc.dat.xyz1234.00
abc.dat.xyz1234.01

They need to be:
 abc.dat.00
 abc.dat.01

I mentioned this in my first post.

Thanks.

ozo, can you please explain your solution a little?

for f in abc.dat.xyz1234.??? ; do cut -d'|' -f 2- $f>${f%.*.*}.${n:1}; let ++n ; done

I understand this part:
for f in abc.dat.xyz1234.??? ;
You are asking it to go through all files with the 3 number wildcard at the end.

Can you please explain this part?
do cut -d'|' -f 2- $f>${f%.*.*}.${n:1};

Thanks.

${f%.*.*} is $f with the last .*.* pathname expansion removed
${n:1} is $n with the first character removed

ozo, thank you very much for your response.

So in this example:
abc.dat.xyz1234.001
$f = abc.dat.xyz1234.001

1) do cut -d'|'  
means for every row remove the | and anything to its left, right?

2)  What is the
-f 2-
for?

3)$(n:1)
How does this become 00?

4)
$f>${f%.*.*}
means  abc.dat.xyz1234.001 becomes abc.dat, right? Does the % remove the .*.*?

5)
let ++n
means increment the file counter, right? What is the counter value that it starts with?

Thanks a lot.

man cut
...
     The list option argument is a comma or whitespace separated set of numbers and/or number ranges.  Number ranges consist of a number, a dash (`-'), and a second number and select the fields or columns from the first
     number to the second, inclusive.  Numbers or number ranges may be preceded by a dash, which selects all fields or columns from 1 to the last number.  Numbers or number ranges may be followed by a dash, which selects
     all fields or columns from the last number to the end of the line.
...
     -f list
             The list specifies fields, separated in the input by the field delimiter character (see the -d option.)  Output fields are separated by a single occurrence of the field delimiter character.

#!bin/bash
n=100
for f in abc.dat.xyz1234.??? ; do cut -d'|' -f 2- $f>${f%.*.*}.${n:1}; let ++n ; done