The output equations of a Half Subtractor ($A - B$) are:

Subject: Digital Logic Systems

Topic: Digital Logic Systems Unit 4: Combinational Circuits

Options:

1. Option A: Difference = $A \oplus B$, Borrow = $A'B$
2. Option B: Difference = $A \oplus B$, Borrow = $AB'$
3. Option C: Difference = $A \cdot B$, Borrow = $A' + B$
4. Option D: Difference = $A'B$, Borrow = $A \oplus B$

Correct Answer:

Option A: Difference = $A \oplus B$, Borrow = $A'B$

Explanation:

Difference $D = A \oplus B$. Borrow $B_{out}$ is active when subtracting $1$ from $0$, which corresponds to $A=0$ and $B=1 \rightarrow A'B$.