Cockpit warning light control using basic logic gates

A half adder is a circuit that adds two binary numbers and produces a sum(S) and a carry(CY). Which of the following is the correct way of expressing these outputs?
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A one-bit multiplier circuit produces an output ________
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The expression for sum (S) of a full adder circuit is given by _____________.
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In a one bit subtractor using AOI logic, the Difference output (Diff) and borrow output (Br) is given by expressions ___________.
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While designing a Full Adder, two implementation options are available: Method 1: AOI Logic; Method 2: NAND Logic. Which of these methods provides a simple, compact and reliable design?
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