Problem 1 a. A three-member committee needs to vote on a variety of company propositions. A proposition is passed when at least two members vote YES. Define your input boolean variables and come up with the truth table for passing a proposition (True = proposition passed, False = proposition not passed). b. A new member is added to the committee. In addition, the four members carry different weights for voting. One of the members carries three votes, the second one carries two votes, and the last two carry one vote each. Redefine your inputs and modify the truth table such that the a proposition can only passed if there is at least 50% of the votes. Problem 2 - An ATM has three options: print a statement, withdraw money, deposit money. The ATM will charge a fee to (1) withdraw money or (2) print a statement without depositing money. a. Define your boolean variables. b. Translate the statement "Charge an ATM fee" into a logic expression/function (True = charge a fee, False = no charge). c. Fill out the truth table for the function "Charge an ATM fee". d. Draw the logic diagram for the function "Charge an ATM fee in CircuitVerse using AOI gates (AND, OR, INV)