You could use SQLCMD. This can be run from a CMD prompt - e.g. a Batch File or similar.
Or you could use an Application Language and an ADO (say, other flavours available ... e.g. ODBC) database connection.
Or you could do it from something like a Spreadsheet, using a Database Connection (if memory serves me that's using something called MSQUERY). That would definitely be my least favourite choice!! I've only ever used MSQUERY in an XLS to PULL data from the database INTO the spreadsheet, which seems a more logical use in Excel to me ... but it will work the other way round, if you ask it to.
The Windows Task Scheduler has an "On Boot" event. You can have that run a batch file, that flips the 0/1 value in your SQL database, would that do? i.e. instead of having a Human do it, just get the "On Boot" event [on each server] to trigger that action automatically?