$(10$ 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 $16\backslash$times $8$ 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.$)$ please provide a picture of the digital logic using this template