Answer
The Boolean expression for this is
$\overline{a} \cdot \overline{b} \cdot \overline{c}+a \cdot b \cdot c$
Pictorially, the corresponding circuit diagram is
![](https://gradesaver.s3.amazonaws.com/uploads/solution/ccd238ad-476b-41bf-955e-b9059b1e3133/result_image/1561988289.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T015447Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=e14ba0fe6298ce709e3fcf207c1dc5233adffebebbb182593c9b29fbd20fe704)
Work Step by Step
The Boolean expression for this is
$\overline{a} \cdot \overline{b} \cdot \overline{c}+a \cdot b \cdot c$
Pictorially, the corresponding circuit diagram is
![](https://gradesaver.s3.amazonaws.com/uploads/solution/ccd238ad-476b-41bf-955e-b9059b1e3133/steps_image/small_1561988289.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T015447Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=aa7f096f17ef916bc7eea44dd409b9d9c299d15cd874d90c7caacc99a8484a55)