There has been a proposal for a new car coming out, this car is said to

be able to wash itself. You will be the head designer in creating this washing

system based on three inputs.

Dirty car $=DC,DC=0$ car is not dirty, $DC=1$ car is dirty

Rain alert $=RA.RA=0$ forecast it will rain, $RA=1$ no rain in the

forecast

Manual Wash $=MW,MW=0$ manually turn off wash, $MW=1$ manu$-$

ally turn on wash

The output for the car will be based on Wash System $=$ WS$,$ WS $=0$

is off, WS $=1$ is on$.$ Please design your logic for this Wash system based

on these rules:

if the car is dirty and the rain alert predicts no rain turn on the wash

system

if the driver manually activates the wash system, wash the car re$-$

gardless if it is dirty or if rain is predicted

The wash system is off for any other conditions

Please complete a K map for WS based on DC$,$ RA$,$ and MW then

use this $K$ map to get the minimum SOP of the wash system. Then

use this below diagram to solve for the unknown gate. Logic B works

so that when MW $=0,$ WS is the output of the unknown gate and

when $MW=1$ then WS is always $1.$ Determine the unknown gate

so that it is correct for WS$.$