$[5]$ Sketch the circuit implementing the following Boolean equation.

$Y\frac{?}{b}=ar(B)+(\frac{?}{\text{b}\text{a}\text{r}}(BC)+A)$

$[7]$ Convert the following numbers to the base given in the question mark.

$($a$){0001111}_2={?}_{10}$

$($b$){127}_{10}={?}_{16}$

$($c$)$ OxFA $={?}_{10}$

$($d$){100011110101000010101011}_2={?}_{16}$

$($e$){10111111}_2={?}_{10}$

$($f$)023={?}_{10}$

$($g$){135}_{10}={?}_2$

$[4]$ Perform the following number conversions:

$($a$)$ OXABCOF$1$ to binary

$($b$)$ Binary $110000011001111$ to hexadecimal