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$1$ B$2$B$1$ then LESS$=1$

This comparator circuit contains $of$ FOUR inputs $(A2A1$ and $B2B1)$ and TWO outputs

$(GREATE{R}_O{R}_E$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 $asin(ii)$

$(iv)$ Verify your truth table with the constructed logic circuit $(Construct$ your circuit $in$ circuitverse

and screenshot your results$)$