It is considered a device for driving a $7-$segment LED display element with a cathode common. At the controller input the decimal digits are binary coded in CBZ Excess $3($E$3$E$2$E$1$E$0).$The display will show all decimal digits, and when on input a combination that is not part of CBZ Excess $3$appears on the device, it will show E$.$

Design the schematic representation for $\text{'}$b$\text{'}$using a single MUX $8$and logic gates. The MUX $8$has an enable signal E#$,$active in negative logic and the output active high.