Problem A board of directors has four members: president, vice-president, secretary, treasurer The following rules are put in place for voting procedures: . For a motion to carry, three-y ES" votes are required. "YES" . In order to avoid a tie, the president is awarded two votes. .No board member may abstain from voting. ;"N0"=0) Prelab 1. Derive a truth table such that all possible outcomes from the problem stated above are included. 2. Obtain the simplified Boolean expression in both SOP and POS forms for the derived 3. 4. 5. truth table. Draw the circuit diagram for both SOP and POS expressions. Transform the SOP circuit diagram to NAND logic. Transform the POS circuit diagram to NOR logic