Question

In a half-subtractor circuit with $\text{X}$ and $\text{Y}$ as inputs, the Borrow $\left(\text{M}\right)$ and Difference $\text{(N = X -Y)}$ are given by

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

Answer 1

The correct option is C $M=\overline{X}Y,N=X⨁Y$

$X$	$Y$	$\text{N= X -Y}$	$M$
0	0	0	0
0	1	1	1
1	0	1	0
1	1	0	0

$N=X⨁Y,M=\overline{X}Y$