QUESTION $2$

Design a magnitude comparator that takes two $2-$bit binary numbers, A$2$A$1$ and B$2$B$1,$ and determine their status based on below condition,

If A$2$A$1>=$ B$2$B$1$ then GREATER$\_$OR$\_$EQUAL $=1$

If A$2$A$1$ then LESS$=1$

This comparator circuit contains of FOUR inputs $($A$2$A$1$ and B$2$B$1)$ and TWO outputs $($GREATER$\_($O$)$R$\_($E$)$QUAL and LESS$).$

$($i$)$ Derive the truth table for the above problem.

$($ii$)$ Minimized the expression into simplified SOP form using K$-$map.

$($iii$)$ Draw the combinational logic diagram based on the simplified Boolean expression as in $($ii$)$

$($iv$)$ Verify your truth table with the constructed logic circuit $($Construcyour circuit in circuitverse and screenshot your results$)$