A circuit outputs a digit in the form of $4$ bits. $0$ is represented by $0000,1$ by $0001,$dots,$9$ by $1001.$ A combinational circuit is to be designed which takes these $4$ bits as input and outputs $1$ if the digit $5,$ and $0$ otherwise. If only AND. OR and NOT aates mav be used, what is the minimum number of aates reauired?

a$.5$

b$.3$

c$.4$

d$.2$