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Construct the truth table for a circuit that outputs the majority (0 or 1 ) of 3 inputs; a,b, and c. Express the Boolean expression from the truth table in sum-of-product (SOP) and product-of-sum (POS) forms. Boolean expressions without simplification: YSOP= YPOS= Minimize the two Boolean expressions above using a Karnaugh map. Minimized Boolean expressions: Draw the circuit of \( \mathrm{Y}_{\text {Sop_min }} \) using two-input gates and also the circuit using two-input NAND gates only. Two-input gates Two-input NAND gates only