Test the full adder circuit from Figure $11\mathrm{.}20,10$th Ed$.(12\mathrm{.}22$ in $11$th Ed$.),$ also in the slide set for Ch$.11$ available on D$2$L$.$ Take the screenshot of the circuit under test.

$1\mathrm{.}2$ Redesign the circuit, so it uses only two XOR gates and three NAND gates. Take the screenshot of the circuit under test. $($Keep this circuit ready for Exercise $2.)$

Exercise $2$: Two bit adder using circuits from Exercises $1$

$2\mathrm{.}1$ Make two full adder circuits from Exercise $1$ and connect them with the carry output form one circuit going into the carry input of the next to form a $2-$bit adder. Label the inputs A$1$A$0,$ B$1$B$0$ and the outputs C$2$S$1$S$0($note the notation is different form what you see in the Stallings textbook: the carry out is labeled as C$2)$ Test the circuit $16$ times adding different numbers $($from $0+0,0+1...$ to $3+3)$ and prepare a truth table for this $2$ bit adder listing data inputs A$1$A$0$ and B$1$B$0$ on the left and the data outputs the outputs C$2$S$1$S$0$ on the right $($please arrange the columns in the truth table in the order specified here with the outgoing carry on the left$).$ Take the screenshot of addition of $2+2$ performed in the simulator.

$2\mathrm{.}2$ Rework the truth table form Question $2\mathrm{.}1$ showing the decimal equivalents of the two bit inputs and, this time, the decimal equivalent of the three bit output. For example, considering the inputs A$1$A$0$ and B$1$B$0,$ and all three outputs C$2$S$1$S$0,$ one of the cases in binary is $012+112=1002,$ then in decimal it would be $1+3=4.($Redo the entire truth table using decimal values.$)$

Exercise $3$: Four bit adder.

$3\mathrm{.}1$ Build a $4$ bit adder using four full adders $($use the design from Exercise $1\mathrm{.}2).$ Test your design in LogicWorks and show the result of calculating $7+5$ on the screen capture from the simulator.

$3\mathrm{.}2$ Test the $4$ bit adder circuit available in the SimulationLogic.clf library of components in LogicWorks. For driving the inputs use two HexKeyboard devices and for the outputs use the HexDisplay device available in SimulationIO.clf library. Test your circuit by adding $7+5$ and show this test on the screen capture.

$(You$ can draw $iton$ a piece $of$ paper $to$ make $it$ easier for $meif$ you cant use logic works and ill give you $an$ upvote thanks$)$