Derive the associated truth table, separate the feedback for analysis purposes, and replace the signal with the pseudo$-$input q$\text{'}.$ Investigate which states remain stable, which are unstable but change to a stable state, and which remain permanently unstable, causing the circuit to oscillate.

$\backslash$table$[[x,q^{\text{'}},q,$Explanation$],[0,0,,],[0,1,,],[1,0,,],[1,1,,]]$

Given is the following truth table. Minimize the features presented and specify a realization that manage the function with a single $1-$out$-$of$-4$ multiplexer.

$\backslash$table$[[x4,x3,x2,x1,y$