49 49 votes The truth table ${\begin{array}{|c|c|c|}\hline \textbf{X}& \textbf{Y}& \textbf{(X,Y)} \\\hline 0& 0& 0 \\ \hline 0& 1&0\\ \hline 1& 0& 1 \\\hline 1& 1& 1 \\\hline \end{array}}$ represents the Boolean function $X$ $X + Y$ $X \oplus Y$ $Y$ Digital Logic gatecse-2012 digital-logic easy boolean-algebra + – gatecse 8.3k views answer comment Share Follow Print See all 7 Comments 7 7 Comments reply Show 4 previous comments Deepak Poonia commented Jul 14, 2025 i edited by Deepak Poonia Aug 6, 2025 reply Follow flag Video Solution: https://youtu.be/NF6DK5sS3S0?t=1342 0 0 replyShare js__ commented Jan 20 reply Follow flag prof. was on holiday 🤣 5 5 replyShare Raj_Dev_Verma commented Jul 5 reply Follow flag Just by seeing function Value, It's match with value of x varible Option A is Correct 0 0 replyShare Please log in or register to add a comment.
Best answer 58 58 votes Whenever $X$ is true $(X,Y)$ is true and whenever $X$ is false $(X,Y)$ is false, so the answer is (A) $X$. Omesh Pandita answered Aug 5, 2014 • selected May 19, 2019 by akash.dinkar12 Omesh Pandita comment Share Follow 0 reply Please log in or register to add a comment.
13 13 votes f(x,y)= xy' + xy = x(y'+y) = x Punit Sharma answered Nov 3, 2018 Punit Sharma comment Share Follow 0 reply Please log in or register to add a comment.
7 7 votes Using $k-$map method,we get $f(x,y) = x.$ Lakshman Bhaiya answered Oct 3, 2019 Lakshman Bhaiya comment Share Follow See all 3 Comments 3 3 Comments reply Abhrajyoti00 commented Jan 1, 2023 reply Follow flag Why do we even need a K-Map for this q? The X column is as it is given in f(X,Y) 3 3 replyShare mahendrapatel commented Jan 26, 2023 reply Follow flag Multiple approaches 0 0 replyShare js__ commented Jan 20 reply Follow flag 🤣 0 0 replyShare Please log in or register to add a comment.
