Create a $3$ input $(x,y,z)$ encoder that assigns a $2$ input $(a,b)$ code $($as input for the next module$)$ to each of the $3$ different inputs.

Optimal design, $a=y^{\text{'}},b=z^{\text{'}}.$

Create a simple truth table and also a state transition truth table for the following graph$-$

Explain the backdoor vulnerabilities and fault injection attack. Also discuss the trojan if following states are added as the backdoor vulnerabilities$-$

$ABx{A}^{\text{'}}{B}^{\text{'}}$

$1100$

$11110$

$1110$