GATE ECE 2014 Set 2 | Question: 16

Question

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

• A. $M = X \oplus Y, \: \: \: N = XY$
• B. $M = XY, \: \: \:N =  X \oplus Y$
• C. $M = \overline{ X}Y, \: \: \:  N =X \oplus Y$
• D. $M = X \overline{ Y}, \: \: \: N = \overline{X \oplus Y}$