5 votes 5 votes For a binary half-subtractor having two inputs $\text{A}$ and $\text{B}$, the correct set of logical outputs $\text{D}\;(=\text{A}\;\text{minus} \;\text{B})$ and $\text{X}(=\text{borrow})$ are $\text{D}=\text{AB}+\overline{A}\text{B, X}=\overline{\text{A}}\text{B}$ $\text{D}=\overline{A}\text{B}+A\overline{\text{B}}, \text{X = A}\overline{\text{B}}$ $\text{D}=\overline{A}\text{B}+A\overline{\text{B}}, \text{X}=\overline{\text{A}} \text{B}$ $\text{D}=\text{AB}+\overline{A}\text{B}, \text{X = A}\overline{\text{B}}$ Digital Logic isro2016 digital-logic adder + – go_editor asked Jul 5, 2016 edited Dec 7, 2022 by Lakshman Bhaiya go_editor 4.4k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 21 votes 21 votes Truth table of half subtractor A B D(A-B) X(Borrow) 0 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0 Now check the values of A and B for which D and X are 1 D=A'B+AB' or A⊕B X=A'B So ans is (C) D=A'B+AB' , X=A'B Sanjay Sharma answered Jul 5, 2016 edited Jan 5, 2020 by `JEET Sanjay Sharma comment Share Follow See all 0 reply Please log in or register to add a comment.
1 votes 1 votes For Half subtractor Difference D = AB' +A'B Borrow X= A'B Hence C is correct. Warrior answered May 1, 2017 Warrior comment Share Follow See all 0 reply Please log in or register to add a comment.