28 votes 28 votes The Boolean expression $A \oplus B \oplus A$ is equivalent to $AB + \overline {A}\;\;\overline B$ $\overline{A}\;B+A\;\overline{B}$ $B$ $\overline{A}$ Digital Logic gate1987 digital-logic boolean-algebra easy + – makhdoom ghaya asked Nov 15, 2016 • recategorized Apr 22, 2021 by Lakshman Bhaiya makhdoom ghaya 4.2k views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply Manu Thakur commented Dec 12, 2017 i edited by Lakshman Bhaiya Oct 2, 2019 reply Follow Share $\textbf{Key point:}$ Exor and Exnor are commutative as well as associative Boolean operators. 26 votes 26 votes Deepak Poonia commented Jul 16, 2022 reply Follow Share $\color{red}{\text{Find Detailed Video Solution Below:}}$ https://youtu.be/XhKwhWzXBd0 4 votes 4 votes Please log in or register to add a comment.
Best answer 36 votes 36 votes Option (C) $B$ $A\oplus A= 0$ and $0 \oplus A = A$ $A \oplus B \oplus A= ( A\oplus A) \oplus B = 0 \oplus B = \bf{B}$ Prajwal Bhat answered Nov 15, 2016 • edited Oct 26, 2018 by kenzou Prajwal Bhat comment Share Follow See 1 comment See all 1 1 comment reply Deepak Poonia commented Oct 13, 2021 i edited by Deepak Poonia Oct 22, 2023 reply Follow Share Note :$A⊕B⊕A=(A⊕A)⊕B=0⊕B=B$We can do so because Ex-OR is Commutative and Associative Operation.$A⊕B⊕A= A⊕(B⊕A) $ // By Associativity$A⊕(B⊕A) = A⊕(A⊕B) $ // By Commutativity$A⊕(A⊕B) = (A⊕A)⊕B $ // By Associativity$(A⊕A)⊕B = (0) ⊕ B = B$https://youtu.be/XhKwhWzXBd0 12 votes 12 votes Please log in or register to add a comment.
11 votes 11 votes Ans: varunraj answered Mar 20, 2018 varunraj comment Share Follow See 1 comment See all 1 1 comment reply MaD_J commented Dec 17, 2018 reply Follow Share Thnx varun raj 1 votes 1 votes Please log in or register to add a comment.
9 votes 9 votes A xor A = 0 So, A xor B xor A = B xor 0 = B thor answered Nov 15, 2016 thor comment Share Follow See all 0 reply Please log in or register to add a comment.