there is only one flipflop, so state diagram have state0 and state1.
state0 means Q=0 and state1 means Q=1
you have only one input that is A.
what happens if A=1 on state0 ?
X1=0 and X0=1 due to state0 ==> Y = A.X1 + A' . X0 = 1.0 + 0.1 = 0 ==> S = 0 ==> R=1
if S=0 and R=1 then Q=0
∴ if A=1 on state0 = state0
what happens if A=0 on state0 ?
X1=0 and X0=1 due to state0 ==> Y = A.X1 + A' . X0 = 0.0 + 1.1 = 1 ==> S = 1 ==> R=0
if S=1 and R=0 then Q=1
∴ if A=0 on state0 = state1
what happens if A=1 on state1 ?
X1=1 and X0=0 due to state1 ==> Y = A.X1 + A' . X0 = 1.1 + 0.0 = 1 ==> S = 1 ==> R=0
if S=1 and R=0 then Q=1
∴ if A=1 on state1 = state1
what happens if A=0 on state1 ?
X1=1 and X0=0 due to state1 ==> Y = A.X1 + A' . X0 = 0.1 + 1.0 = 0 ==> S = 0 ==> R=1
if S=0 and R=1 then Q=0
∴ if A=0 on state1 = state0
Graphical representation is