$1)[7$ marks$]$ Fill up the below state table by converting your most right two digits of your student number to BCD code and use it for column A $,$ then use second most right two digits for column B and then the third most two digits for column C $.$ Design using T flip flops. Use K$-$map and draw the circuit.

$-$

Present States Input Next states

A B C X A B C

$0000$

$0011$

$0101$

$0110$

$1000$

$1011$

$1100$

$1110$

Use student number $100392740$