You are given the state table below and the state assignment $K=11,L=00,M=01.$

$($a$)$ Construct the state$-$assigned table assuming D flip$-$flops, where the state$-$assigned table will

have the following headings.

$($b$)$ Derive minimal Boolean expressions for the next state to be input to the flip$-$flops and for the

output.

$($c$)$ Draw the circuit corresponding to your derivation in part $($b$).$

Derive the state diagram for a Mealy$-$type sequential circuit with one input $n$ and one

output $t$ that is to recognize an input sequence of either $000$ or $001.$ Specifically, the circuit is to

output a $1$ when the current input is the last bit of one of these sequences. Note that sequences

can overlap.