These two go together and I need help to solve them and draw them please.

I. $(8$ points$)$ Consider the BCD to Seven$-$Segment Decoder design, shown on Page $14$ of the "Digital Logic III. $(10$ points$)$ Realize a character generator for the Seven$-$Segment Decoder from Question #$1$ using a ROM.

The $"$Q$3"$ subcircuit provided for you includes a $168$ ROM module, input and output splitters, and a $7-$

Segment Display module. Your completed character generator should include all ten decimal digits, plus the

hexadecimal digits A through $F($with $"$b$"$ and $"$d$"$ in lowercase$).$ Implement your circuit by populating the

initially empty ROM with the necessary values. $($Again$,$ refer to the Seven$-$Segment Decoder design shown

on Page $14$ of the "Digital Logic Fundamentals, Part $2"$ lecture notes.$)$

The inputs correspond to ROM addresses, and the input terminals are arranged in numerical order, with $"$D$"$

as the most significant bit and $"$C$"$ as the least significant bit. You can test your work by using the Poke tool

to toggle the address inputs to enter the binary values $0$ through $15$ ; this should cause the corresponding

hexadecimal digit to be shown on the display. $($Note: If you are using command$-$line verification, the outputs in

the first ten rows should match the truth$-$table values shown in the lecture notes.$)$

Fundamentals, Part $2"$ lecture notes. Using K$-$maps, obtain a minimum SOP form for the outputs

corresponding to the LED segments $d,e,$ and $f$; then, in the $"$Q$1"$ subcircuit, implement this logic using only

AND, OR$,$ and NOT gates. For this question, and for the third question, the inputs D$,$ A$,$ B$,$ and C

respectively replace the inputs $x_3,x_2,x_1,$ and $x_0$ shown in the lecture notes. $($Note: if you are using

command$-$line verification, remember that $"f"$ is the least significant bit shown in the output, and $"d"$ is the most

significant bit. The outputs in the first ten rows should match the truth$-$table values for $"d","$e$",$ and $"$f$"$ shown in

the lecture notes.$)$