$($i$)$ For a synchronaus counter with sequence: $2653102$

$($i$)$ Give present state$/$next state table.

$|10|$

$($ii$)$ Write state transition table using D Mip$-$flops.

$($iii$)$ Simplify and realize the circuit. Draw the state diagram.

$($b$)$ I$)$ Justify whether the designed counter will go in lockout condition or not.

ii$)$ What should be the carrective design process to avoid the lockout condition?