Draw the state transition diagram label the up transitions

Question

Consider a two-bit saturating up-down counter with input I. I=1 causes the count to increment, e.g., 00->01->10->11, saturating at state 11 (in other words, the state 11 maintains if it is given the input I=1). I=0 causes the count to decrement, e.g., 11->10->01->00, saturating at state 00.

(a) Draw the state transition diagram. Label the up transitions with '1' and the down transitions with '0'.

(b) Give the state table using Q₁(t) and Q₀(t) for current state.