A JK flip-flop receives a clock (CLK) and two inputs, J and K. On the rising edge of the clock, it updates the output Q as follows. If J and K are both 0, Q retains its old value. If only J is 1, Q becomes 1. If only K is 1, Q becomes 0. If both J and K are 1, Q becomes the opposite of its present state. A toggle (T) flip-flop has a CLK input, and one output Q. On each rising edge of CLK, Q toggles to the complement of its previous value.

(a) Construct a JK flip-flop using a D flip-flop and some combinational logic.

(b) Construct a D flip-flop using a JK flip-flop and some combinational logic.

(c) Construct a T flip-flop using a JK flip-flop. (d) Construct a T filp-flop using a D flip-flop and some combinational logic