Create a single digit common cathode seven segment driver module which displays numbers $0$ through $9.$

Common Cathode means a segment is on when the output is $1$ and off when the output is a $0.$

The seven segment display looks like the following:

alt text

The decimal point should be the most signifcant bit of the output and the A segment is the least significant bit of output Cathode.

Input Signals: Num $-4$ bits

Output Signal: Cathode $-8$ bits

Example Output

To show an F on the display, segments A$,$ E$,$ F$,$ and G need to be on$.$ The output would look like this:

Cathode$=01110001$

Decimal Point $($DP$)$ being the MSB and A being the LSB$.$