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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 = X ⊕ Y̅

Correct answer: M = X̅Y, N = X ⊕ Y

Solution

The correct option states that the Borrow (M) is determined by the condition where X is less than Y, which is represented by X̅Y, while the Difference (N) is calculated using the exclusive OR operation (X ⊕ Y), which accurately reflects the subtraction of Y from X.

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