Step $1$

Start from the design step.

a$.$ Read ch$8\mathrm{.}2$ Seven$-$Segment Displays of the Tarnoff textbook.

b$.$ Instead of a circuit to display hexadecimal digits $(0$~$9$ and A~F$),$ we will build a circuit to display decimal digits $0$~$9$ only.

c$.$ Truth table: we will only use the first $10$ rows of Fig $8-14$ from ch$8\mathrm{.}2.$ The last $6$ rows $($for hex A$-$F$)$ become don$$t care conditions. Include a copy of the revised truth table in your project document. The truth table should still show $16$ rows but with don$$t care conditions.

d$.$ Provide a simplified Boolean expression for each of the $7$ outputs a ~ g$.$ Use whatever simplification method you like, but you must use the don$$t care cells and show your work with steps $($such as k$-$maps$).$ Creating k$-$maps on the computer is a good idea. Make sure another person $($not you, as you did the work$)$ can read your groupings and follow how each group is simplified.

Step $2$

Create a circuit in Logisim piece by piece based on your simplification result from Step $1.$ Only use AND, OR$,$ and NOT gates. Your circuit should have four inputs and $7$ outputs.

Label every inpu$($t$)/($o$)$utput pin and every AN$($D$)/($O$)$R gate in your circuit. Labels are like comments in a program and can help us track our work, especially when we need to correct errors. Label an AND gate with the term generated, like A$$BD$,$ and an OR gate with the function name, like W$.$

Add your name, Park ID$,$ and date to your circuit using the text tool. Save your circuit as Unit$3\_($Y$)$ourLastName$.$circ. Test your circuit to make sure it works properly before proceeding to the next step. Document your testing in the project document.

Step $3$

Now attach a $7-$segment display to your a~g outputs. Figure $1$ shows where a $7-$segment display is listed in Logisim. Figure $2$ shows the mappings between a~g segments $($and the dot$)$ and the $8$ pins of the $7-$segment display component. The rightmost pin in the bottom $($the dot$)$ is connected to a constant $0$ as we don$$t need this dot. Use a Constant component $($Figure $3)$ and change its value attribute to $0.$ If needed, see the Help menu $>$ Library reference $>$ Inpu$($t$)/($O$)$utput Library $>7-$segment Display.

Display

Figure $1$

Figure $2$

Top four pins from left to right: g f a b;

Bottom three pins from left to right: e d c

Figure $3$

Do not delete the a~g output pins when attaching the $7-$segment display. Add additional wire before each output component as shown below. Save your circuit as Unit$3\_($Y$)$ourLastName$\_(7)$seg$.$circ. Test your circuit and document your testing in the project document.

Step $2$

Create a circuit in Logisim piece by piece based on your simplification result from Step $1.$ Only use AND, OR$,$ and NOT gates. Your circuit

should have four inputs and $7$ outputs.

Label every inpu$($t$)/($o$)$utput pin and every AN$($D$)/($O$)$R gate in your circuit. Labels are like comments in a program and can help us track our work,

especially when we need to correct errors. Label an AND gate with the term generated, like A'BD', and an OR gate with the function name,

like W$.$

Add your name, Park ID$,$ and date to your circuit using the text tool. Save your circuit as Unit$3\_($Y$)$ourLastName$.$circ. Test your circuit to

make sure it works properly before proceeding to the next step. Document your testing in the project document.

Display

The BCD to

decimal circuit longrightarrow.

$(1)$b