0 votes 0 votes If $703_{x}$ (in base-$x$ number system) equals $504_{y}$ (in base-$y$ number system), then possible values of $x, y$ are: $17, 18$ None of these $8, 11$ $12, 13$ Digital Logic uppcl2018 digital-logic number-representation + – admin asked Jan 5, 2019 retagged Apr 19, 2022 by Lakshman Bhaiya admin 342 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 1 votes 1 votes $x^{0}*3+x^{1}*0+x^{2}*7=y^{0}*4+y^{1}*0+y^{2}*5 \\ 3+7x^{2}=4+5y^{2}\\ 7x^{2}=5y^{2}+1$ Now put x,y values in the equation None of the option satisfies the above condition Anurag Parothia 1 answered Jan 26, 2019 selected Jan 28, 2019 by Lakshman Bhaiya Anurag Parothia 1 comment Share Follow See all 2 Comments See all 2 2 Comments reply Lakshman Bhaiya commented Jan 26, 2019 reply Follow Share If you explain everything then you write in the answer, otherwise write in the comment section. 0 votes 0 votes Anurag Parothia 1 commented Jan 28, 2019 reply Follow Share I will take care next time 1 votes 1 votes Please log in or register to add a comment.