Computer Science - Digital Computer Electronics - Discussion

1. 

Conversion of decimal number 6110 to it's binary number equivalent is

[A]. 1100112
[B]. 110011102
[C]. 1111012
[D]. 111112
[E]. None of the above

Answer: Option C

Explanation:

No answer description available for this question.

Bhanu said: (Apr 16, 2011)  
2| 61
2| 30- 1
2| 15- 0
2| 7- 1
2| 3- 1
| 1- 1


DIVIDE 61 BY 2 QUOTIENT 30 . HERE 1 IS REMAINDER
DIVIDE 30 BY 2 QUOTIENT 15 . HERE 0 IS REMAINDER
DIVIDE 15 BY 2 QUOTIENT 7 . HERE 1 IS REMAINDER
DIVIDE 7 BY 2 QUOTIENT 3 . HERE 1 IS REMAINDER
DIVIDE 3 BY 2 QUOTIENT 1 . HERE 1 IS REMAINDER


so we collect remainder like this 111101 in binary value

Dheeraj Kumar said: (Nov 14, 2012)  
61 = (2^5)*1+(2^4)*1+(2^3)*1+(2^2)*1+(2^1)*0+(2^0)*1.

So binary equivalent of decimal 61 is (111101).

Jagrati Goyal said: (Mar 4, 2013)  
Firstly 61/2=30 remainder=1.

And then 30/2=15 remainder=0.

And then 15/2=7 remainder=1.

And then 7/2=3 remainder=1.

And then 3/2=1 remainder=1.

Since we read bottom to top so finally answer is 111101 in binary.

Saptarshi Ghosh said: (Dec 3, 2013)  
61 - odd number right, (B) cancelled immediately.

Max 2^n < 61 is 32 ie 2^5 => result will be 5+1 = 6 bits, (D) Cancelled

A. 110011 - 32+16+3 Cancelled

C. 111101 - 32+16+13 = 61

Another way, 61 = 63-2, 63 = 111111-000010 = 111101.

Rahul Jain said: (Jun 26, 2014)  
To convert a decimal number into the binary number, you have to go through the following procedure:

1. Divide 61 by 2, which gives a remainder of 1.
2. Divide the Quotient (30 in the case) by 2, which gives a remainder of 0.
3. Divide the Quotient (15 in the case) by 2, which gives a remainder of 1.
4. Divide the Quotient (7 in the case) by 2, which gives a remainder of 1.
5. Divide the Quotient (3 in the case) by 2, which gives a remainder of 1.
6. Divide the Quotient (1 in the case) by 2, which gives a remainder of 1.

Examine all the remainders in the backward flow(from 6 to 1 in our case), which gives 111101. This is your answer.

Aakash Rahtore said: (Sep 27, 2016)  
Thanks for explaining the answer.

Vishnu said: (Nov 27, 2016)  
Thanks for explaining it in different way.

Hafiz Qireshi said: (Dec 20, 2017)  
Good explanation. Thanks.

Rajib Kumar Halder said: (Apr 10, 2018)  
--> divide in half ignore remainder. Let 61;
1 3 7 15 30 61.

Now put 0 for even number and 1 for an odd number.
1 1 1 1 0 1.

Janhavi said: (Apr 20, 2019)  
Thanks for explaining.

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