$($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

$2\mathrm{.}2$ Write the expanded forms of the terms in the given expression:

$F(ABCD)=BCD+AB\frac{C}{b}ar(D)+$ABD

$2\mathrm{.}3$ Implement the logic circuit for the expression

$F(WxY)\frac{?}{b}=ar(WxY)+x(EF\frac{+}{b}ar(G))\frac{+}{b}ar(xY)(W+x)$

Please note: Do not simplify the expression.

$[$TURN OVER$]$