Find text or toots $Q$

QUESTION $1$

$40$

$1\mathrm{.}1$ Convert Binary ${11100}_2$ to Decimal.

$(6)$

$1\mathrm{.}2$ Convert Decimal ${47}_{10}$ to Octal.

$1\mathrm{.}3$ Using Boolean algebra techniques, simplify the following expression.

$(7)$

$F(xYZ)=xYZ+\stackrel{}{x}+\frac{x}{b}ar(Y)Z$

$1\mathrm{.}4$ Perform the following additions:

$($a$){25}_8+{13}_8$

$($b$){11001}_2+{101}_2$

$1\mathrm{.}5$ Draw the truth tables of single input NOT gate and $2$ INPUT AND gate.

$1\mathrm{.}6$ Write the $2\text{'}$s compliment of ${100010}_2$

QUESTION $2$

$30$

$2\mathrm{.}1$ Simplify the expression $F(WxYZ)\frac{?}{b}=ar(W)\stackrel{}{x}YZ\frac{+}{b}ar(W)xYZ+WxYZ+W\stackrel{}{x}YZ+YZW\frac{x}{b}ar\frac{Y}{b}ar(Z)+$ WX $\frac{?}{\text{b}\text{a}\text{r}}(Y)Z+Wx\frac{Y}{b}ar(Z)$ using a Karnaugh map.

Please note: use WX in the rows and $YZ$ in the columns