Hello Ed,
If you are running NT4 then NT 4 domains do not rely on DNS.
Can you please clarify what you mean by how to change domain name in DNS?

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Thanks,
Mohanchand Koduri [MSFT]
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> We are running NT 4.0 SP6a and would like to know if
> there are step by step instructions on how to change the
> domain name in DNS ?