Question $2$

$($a$)$ Refer to the FigO$2$a below. Draw the Truth Table of the outnut Y$.[5$ marks$]$

$($b$)$ Design a $2-$bit magnitude comparator $($which compares two $2-$bit numbers$).$ Proceed as follows:

$($i$)$ Start by drawing the Truth Table.

$($ii$)$ Simplify the outputs using K$-$maps.

$($iii$)$ Draw the logic circuit corresponding to the minimized expression from part $($ii$).$

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$[5+5+5=15\backslash$text $\{$ marks $\}]$

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