$1)[7$ marks$]$ You have been hired by a company to design a circuit to encrypt passwords. Assume

passwords are $3$ bits in size and that the encrypted password is the original password inverted

$(0\text{'}$s become $1\text{'}$s and $1\text{'}$s become $0\text{'}$s$)$ and then add $7($modulo $8$ as we only have $3$ bits$).$ For

example if the password is $000,$ we invert it to give us $111.$ We then add $7(7+7=14$ mod

$8=6)$ which makes the encrypted password $110.$ Design and build a sequential circuit to

perform the above function $($using the procedure from your notes$)$ using a D flip$-$flop in the

highest order bit, a D flip$-$flop in the middle and a T flip$-$flop in the lowest order bit. You need

to show the State Table, K$-$maps and draw the sequential circuit.

NO AI ANSWERS$<$ Make sure you draw the circuit. Make sure you give me the tables and everything this question asks for!