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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

1. $X$
2. $X + Y$
3. $X \oplus Y$
4. $Y$

edited | 1.2k views

Whenever $X$ is true $(X,Y)$ is true and whenever $X$ is false $(X,Y)$ is false, so the answer is (A) $X$.

selected
f(x,y)= xy' + xy
= x(y'+y)
= x

Using $k-$map method,we get $f(x,y) = x.$