Question 343850: 302₆×42₆
Answer by Jk22(389)   (Show Source):
You can put this solution on YOUR website! Multiply in Base 6 :
000302(6)
000042(6)
------
001004(6)
+20120(6)
------
21124(6)
in base 10 : 302(6)=2+3*36=2+90+18=110(10)
42(6)=2+4*6=26(10)
110x26=260+2600=2860(10) is the same as 21124(6) ? : check
power of 6 : 1,6,36,216,1296 :
2860-1296=4+700+860=1564
1564-1296=268 (first digit : 2----(6))
268-216=52 (2nd digit : 21---(6))
52-36=16 (3rd digit : 211--(6))
16-6=10
10-6=4 (4&5th digit : 21124(6))
verified.
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