i just tested the crap question on multisim and it shows as mod-6 counter.
i went half-dead.

yea, i cant get over it.
such a stupid question,
a fucking twist but yet, everything is the same.

it's just inversion of the whole shit.
NAND gate became OR gate.

so that means to say binary 1 becomes 0 and 0 becomes 1.
and there you get a mod-6.

damn you smarties.
WIN LIAO LOR.