A circuit whose block diagram is shown below has an input line A$.$ This input line is passed to the output y if the $3-$bit code entered through the inputs x$/$x$2$ x$3$ is $"100",$ otherwise y is at logic $0.$ Realize the circuit using appropriate gates by inspection $($without using truth table$/$using Boolean identities$/$K$-$map$/$Tabulation method$)$