$F(WxY)=(\frac{?}{\text{b}\text{a}\text{r}}(W)+\stackrel{}{x}+Y)(\frac{?}{\text{b}\text{a}\text{r}}(W\stackrel{}{x}+Y))\frac{+}{b}ar(W)xY$

Please note: Do not simplify the expression.

$2\mathrm{.}4$ What is the difference between latch and Flip$-$flop?

QUESTION $3$

$3\mathrm{.}1($a$)$ What are the common types of Flip$-$flops and write any $3$ applications of Flip$-$flops

$($b$)$ Convert ${110\mathrm{.}10}_2$ to decimal fraction

$3\mathrm{.}2($a$)$ Draw the truth table for a positive edge triggered R$-$S Flip$-$flop.

$($b$)$ Draw the truth table for a positive edge triggered J$-$K Flip$-$flop

$3\mathrm{.}3$ Apply DeMorgans law on the following expressions:

$($a$)\frac{?}{\text{b}\text{a}\text{r}}(\frac{?}{\text{b}\text{a}\text{r}}((A)+C)(\frac{?}{\text{b}\text{a}\text{r}}(AB)))$

$($b$)\frac{?}{\text{b}\text{a}\text{r}}(A(A+C))$QUESTION $1$

$1\mathrm{.}1$ Convert Binary ${10100}_2$ to Decimal.

$1\mathrm{.}2$ Convert Decimal ${125}_{10}$ to Octal.

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

$F(xYZ)=x[Y+Z(xY+xZ)]$

$1\mathrm{.}4$ Determine the $2\text{'}$ S complement of ${11111}_2$

$1\mathrm{.}5$ Perform the following additions:

$($a$){255}_8+{36}_8$

$($b$){1111}_2+{111}_2$

$1\mathrm{.}6$ Draw the truth tables of single input NOT gate and $2$ INPUT AND gate.

QUESTION $2$

$2\mathrm{.}1$ Simplify the expression $F(WxYZ)\frac{?}{b}=ar(W)\stackrel{}{x}YZ\frac{+}{b}ar(W)xYZ+WxYZ+W\stackrel{}{x}YZ+YZW\frac{x}{b}ar\frac{Y}{b}ar(Z).+$

W X $\frac{?}{\text{b}\text{a}\text{r}}(Y)Z+Wx\frac{Y}{b}ar(Z)$ 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:

$F(ABCD)=$ABCD$+A\frac{B}{b}ar(D)+$ABD

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