SOLUTION: Find the base 9 representation of 1011101010101_2.(base 2)

Algebra ->  Test -> SOLUTION: Find the base 9 representation of 1011101010101_2.(base 2)      Log On


   



Question 1030746: Find the base 9 representation of 1011101010101_2.(base 2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1%2A2%5E12=4096
0%2A2%5E11=0
1%2A2%5E10=1024
1%2A2%5E9=512
1%2A2%5E8=256
0%2A2%5E7=0
1%2A2%5E6=64
0%2A2%5E5=0
1%2A2%5E4=16
0%2A2%5E3=0
1%2A2%5E2=4
0%2A2%5E1=0
1%2A2%5E0=1
Adding them up,
1011101010101=5973
So then,
9%5E0=1
9%5E1=9
9%5E2=81
9%5E3=729
5973-8%28729%29=141
141-1%2A%2881%29=60
60-6%2A%289%29=6
6-6%281%29=0
So in base 9 it would be 8166