A NOR$-$based SR latch has its S input set to $0$ and its R input set to $0.$ What are its Q and Q$$ outputs after S $=0$ and R $=1?$

a$.$

Q $=1$ and Q$=0$

b$.$

Q $=0$ and Q$=1$

c$.$

Q $=0$ and Q$=0($forbidden$)$

d$.$

Q $=1$ and Q$=1$