Computer Science - Computer Fundamentals - Discussion

6. 

Conversion of an octal number 208 to its binary number is

[A]. 100002
[B]. 101112
[C]. 101102
[D]. 111102
[E]. None of the above

Answer: Option A

Explanation:

No answer description available for this question.

Seema said: (Nov 3, 2011)  
How to calculate this answer ?

Priyanka said: (Nov 28, 2011)  
Please explain the answer.

Renjith said: (Jul 12, 2012)  
20 to base 8 means 16 to base 10
i.e. 2 0
2 x 8 raise to 1 + 0 x 8 raise to 0 = 16.

Now 16 base to 10 means 10000 base to 2

i.e. 16/2 = 8 remainder 0
8/2 = 4 remainder 0
4/2 = 2 remainder 0
2/2 = 1 remainder 0
So the answer is 1 0 0 0 0 (the last answer and the remainders, from bottom to top)

Hope it is clear.!!

Sonali said: (Feb 5, 2014)  
20 to base 8 convert into decimals as 0*8^0+2*8^1 = 0+16 = 16.

From decimal convert to binary,

i.e. 16/2 = 8 remainder 0.
8/2 = 4 remainder 0.
4/2 = 2 remainder 0.
2/2 = 1 remainder 0.

So the answer is 1 0 0 0 0 (the last answer and the remainders, from bottom to top).

Ravi said: (Dec 15, 2014)  
Binary for 0 is 000.

Binary for 2 is 010.

So, binary for 20 is 010000.

Basically we not consider the left zero for 1.

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