I have a Mac Mini also. . .
Assuming your DAC has an optical input, there's a mini-Toslink to Toslink adapater made by Audioquest and available from Music Direct for about $5. You would then use a standard Toslink cable. Or, you could go with a single cable that has mini-Toslink on one end and standard Toslink on the other. I ordered one from Lifatec (Lifatec.com).
I don't know if there's an adapter from the Mini mini-jack to an RCA style coax, but I'd be interested in finding out too.
Assuming your DAC has an optical input, there's a mini-Toslink to Toslink adapater made by Audioquest and available from Music Direct for about $5. You would then use a standard Toslink cable. Or, you could go with a single cable that has mini-Toslink on one end and standard Toslink on the other. I ordered one from Lifatec (Lifatec.com).
I don't know if there's an adapter from the Mini mini-jack to an RCA style coax, but I'd be interested in finding out too.