SOLUTION: Find the base 8 representation of 1011101010101_2
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Question 1029145: Find the base 8 representation of 1011101010101_2
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the base 8 representation of 1011101010101_2
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1011101010101
If you mean that's base 2:
Group them in 3's starting at the right side.
1 011 101 010 101
--> 13525 base 8
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
1011101010101
group this in groups of 3 starting
at the right side
1 011 101 010 101
Use place multipliers for
each of the groups of 3
[ 2^2 , 2^1 , 2^0 ]
1 3 5 2 5
This is the value in base 8 ( octal )
-----------------------------
Prove it with easy example:
1000100
1 0 4 in octal
--------------
1*2^6 + 1*2^2 = 64 + 4
64+ 4 = 68
and
1*8^2 + 4 = 64 + 4
64 + 4 = 68
OK
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