A new clocked X-Y flip-flop is defined with two inputs, X and Y is addition to the clock input. The flip flop functions as follows:        

If , the flip flop changes stage with each clock pulse

If , the flip flop state Q becomes 1 with the next clock pulse

If , the flip flop state Q becomes 0 with the next clock pulse

If , no change of state occurs with the clock pulse

It is desired to convert a J-K flip flop into the X-Y flip flop by adding some external gates, if necessary.