In a JK Flip Flop:

The next state $(q^{**})$ is the present state $(q)$ when the present inputs are $)=1,K=(1$

The next state $(q^{**})$ is the complement of the present state $(q^{\text{'}})$ if the present inputs are $)=1,K=(1.$

To store $a0$ we need $J=1$ and $R=0.$

To store $a1$ we need $J=0$ and $R=1.$