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For a binary half-subtractor having two inputs A and B, the correct set of logical expression for the outputs D (= A minus B) and X = borrow) are
$$D=AB+ \overline{A} B, X = \overline{A}B$$
$$D = \overline{A} B + A \overline{B}, X = A \overline{B}$$
$$D = \overline{A}B + A \overline{B}, X = \overline{A}B$$
$$D = AB + \overline{A}B, X = \overline{A}B$$
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