In a half-subtractor circuit with X and Y as inputs, the Borrow (M) and Difference (N = X - Y) are given by

1
M = X ⊕ Y, N = XY
2
M = XY, N = X ⊕ Y
3
M = X̅Y, N = X ⊕ Y
4
M = XY̅, \(N = \overline {X \oplus Y} \)

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