Problem Description:

You are requested to design a system that montins $7$ digital devires in your hame. Edch af these devices peroperily; otherwise, the devicw sends lnge $"\text{'}$ to indicate that it is nat working and needs to be find The manitering rystem uses twa seven agrment dieplays to show the status of thes devicis and the number of the fuity device, if any as shown in Figure $L.$

The antem operates as follaws

The signals received from the devices are connected to an $5-$to$-3$ high priority encoder that outpats the number of the faulty device with the hiphast priority in binary fornat. For eximple, the encoder eutpets $\text{'}110$ whan Device $6$ is the only fulty ons. In case there is more than ente. faulgy device, the encuder sutputs the hiphest faulty device number. Por instance, of devices $5$ and $2$ are faulty, the encoder outputs $\text{'}101\text{'}.$ In case none of the devices is faulty, the encoder outputs $000$

The output of the encoder in connected to a $?-$peguent driver$/$deceder labeled "Duvice of that converts the device number into the corresponding $7-$segment coda. The outpet of this driver is

The oscuut of the mooder is aho connectad to another $7-$seameat drivee$/$decoder Labulad