Your program has another serious bug. After it reports a win, it does not start a new game, but rather continues to prompt you to "Guess Again". Use strict and use warnings would find and report the error. (You have two variables named $guess) Of course this message tends to get lost in a sea of less serious error messages. Always use strict and warnings and fix all the errors that they report.

I have several comments on your style.

Most people (except perhaps old FORTRAN programers) find perl's do...while to be a bit quirky. Use them only when the offer a real advantage.

Do not append a newline to $rannumber. Better to chomp the newline from $guess.

You should separate code for validating input from real game code. Best to use a prompt modulue with a call back routine for validation.

UPDATE: Corrected typos

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