$10-$ Design circuitry to run a seven$-$segment display for one digit. The input consists of a four$-$bit digit $($where each bit is an input line$).$ The outputs are a$,$ b$,$ c$,d,e,f,$ and $g$ of the seven segment diagram light the segment, $0=$ do not light the segment$).$ From a truth table, write and simplify seven Boolean expressions. Then draw the seven minimal circuits. Note: There are only ten rows of input in the table corresponding to the digits $0(0000$ two through $9(1001$two$).$