Task:

Design a combinational logic circuit that has three inputs, A$,$ B$,$ and C$,$ and whose output will be HIGH $(1)$ only when a majority of the inputs are HIGH.

Complete each if the $7$ steps $($show all detailed work$),$ copy it to a document, save as a pdf$,$ and SUBMIT ASSIGNMENT. This is an independent assignment, but you may ask your group for clarification and$/$or debugging. You may use PetGUI to generate your diagrams, but they can also be hand$-$drawn.

$1,$ Set up the truth table,

$2.$ Write Sum$-$of$-$products $($SOP$)$ expression for the output.

$3.$ Create a SOP circuit diagram.

$4.$ Transform the expression to a Product$-$of$-$sums $($POS$).$

$5.$ Create a POS circuit diagram

$6.$ Simplify using Boolean properties $($show each step with the property name$).$

$7.$ Create a simplified circuit diagram $($either form$).$