0 votes 0 votes Let $m=(313)_4$ and $n=(322)_4$. Find the base $4$ expansion of $m+n$. $(635)_4$ $(32312)_4$ $(21323)_4$ $(1301)_4$ Unknown Category ugcnetcse-nov2017-paper2 + – Arjun asked Nov 5, 2017 edited Jul 7, 2020 by go_editor Arjun 1.3k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
2 votes 2 votes (313)=3*16+4*1+3=55; (322)=3*16+4*2+2=58; addtition is 55+58=113.... now 113 in base 4 can be represented as ...1301 to the base 4... ANS is 4) SHUBHAM SHASTRI answered Nov 9, 2017 SHUBHAM SHASTRI comment Share Follow See all 0 reply Please log in or register to add a comment.
1 votes 1 votes Add each digit of two numbers from right to left: 3+2 =5 which in base 4 will be 11. So 1 will be in result and 1 will be the ""carry"" to next step 1+2+1(carry from the last step)=4 which in base 4 will be 10. So 0 will be in result and 1 will be the ""carry"" to next step 3+3+1(carry from the last step)=7 which in base 4 will be 13. So 3 will be in result and 1 will be the carry Answer is (1301) 4 sh!va answered Nov 6, 2017 sh!va comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes Decimal 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Quaternary 0 1 2 3 10 11 12 13 20 21 22 23 30 31 32 33 313 + 322 _________ 1301 pallapu kiran tanuku answered Mar 10, 2018 pallapu kiran tanuku comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes m=313 its binary equivalent is (110111)2 n=322 its binary equivalent is (111010)2 then add (110111 + 111010)2 we get (1110001)2 so (1 11 00 01)4 = (1301)4 ans is 4 Prasanjeet Ghosh answered Mar 21, 2018 edited Apr 26, 2018 by Prasanjeet Ghosh Prasanjeet Ghosh comment Share Follow See all 0 reply Please log in or register to add a comment.