SOLUTION: The binary number 1001 is equivalent to what base eight number

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Question 503581: The binary number 1001 is equivalent to what base eight number
Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The binary number 1001 is equivalent to what base eight number
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1001 base 2 = 11 base 8
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Cheers,
Stan H.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Reading from right-to-left (like arabic), the binary number 1001 can be read as:
1X2%5E0+0X2%5E1+0X2%5E1+1X2%5E3=9 in decimal.
The octal (base 8)equivalent is highlight%2811%29 and this is deciphered as follows:
Group the digits of the binary number in groups of three starting from the right sides thus:
highlight%281%29highlight%28001%29 which is 11
In octal (base 8) the binary-to octal conversion looks like:
000+=+0
001+=+1
010+=+2
011+=+3
100+=+4
101+=+5
110+=+6
111+=+7
1000+=+10
1001+=+11
1010+=+12
1011+=+13