Q$8.$ A process involves moving speed, load weight, and rate of loading in a convey system. The variables are provided as high $(1)$ and low $(0)$ levels for digital control. An alarm should be initiated whenever any of the following occurs: $(1)$ speed is low; both weight and loading rate are high, $(2)$ speed is high; loading rate is low. Find a Boolean equation describing the required alarm output. Let the variables be S for speed, W for weight, and R for loading rate. Derive the logic expression for the output signal $\backslash (($f$)\backslash ),$ and then draw the control diagram using logic gates. $(5$ pts$)$