$(6$ marks$)$ Given the following truth table, write the Boolean expressions for $x$ and $Y,$

simplify them, and draw the logic diagram $($using the applet and inserting a screen

shot$).(2$ marks$)$ Convert the following decimal numbers to binary. Use one bit for sign,

$4$ bits for exponent, and $11$ bits for mantissa.

${94\mathrm{.}137}_{10}$

${106\mathrm{.}958}_{10}$