1. Design a combinational logic circuit for 3-input minority circuit. Assume that a minority circuit is one which produces a HIGH (1) when two or more inputs are LOW (0). i. Construct the truth table. ii. Simplify the Boolean expression into product-of-sums (POS) form and sum-of-products (SOP) form using Boolean Algebra Techniques / Karnaugh map. iii. Construct the logic diagram using OR-AND gate network and verify the circuit experimentally. iv. Construct the logic diagram using only NAND gates and verify the circuit experimentally. Report only Only Report has to be submitted for the following questions: 2. Design a combinational logic circuit for 4-input majority circuit. A majority circuit is one which produces a HIGH (1) output when three or more inputs are HIGH (1). i. Construct the truth table and simplify the Boolean expression into SOP and POS forms using K-map. ii. Construct the logic diagram using AND-OR gate network with simplified SOP expression. iii. Construct the logic diagram using OR-AND gate network with simplified POS expression. iv. Construct the logic diagram using only NAND gates with simplified SOP expression. v. Construct the logic diagram using only NOR gates with simplified POS expression. 3. Design a combinational logic circuit that controls an elevator door in a three-storey building. There are 4 input conditions. M is a logic signal that indicates when the elevator is moving (M=1) or stopped (M=0). F1, F2 and F3 are floor indicator signals that are normally LOW, and they go HIGH only when the elevator is positioned at the level of that particular floor. i. Construct the truth table and simplify the Boolean expression into SOP form using K-map with don't care conditions. ii. Construct the logic diagram using AND-OR gate network with simplified SOP expression. iii. Construct the logic diagram using only NAND gates with simplified SOP expression