Electronics and Communication Engineering - Microprocessors - Discussion

5. 

Binary number 1101.101 is equivalent to decimal number?

[A]. 13.5
[B]. 13.75
[C]. 13.625
[D]. 13.875

Answer: Option C

Explanation:

Binary .101 equals 0.625 in decimal.


Santoo said: (Apr 17, 2014)  
Can you please tell me the briefly information for that equal to 0.625 for binary of 101?

Gsb said: (Apr 29, 2014)  
1*(1/2) = 0.5.
1*(1/8) = 0.125.
After adding 0.625.

Paavan said: (Aug 2, 2014)  
1*(2^-1) + 0*(2^-2) + 1*(2^-3) = 1*(1/2) + 0 + 1*(1/8) = 0.5+0.125 = 0.625.

Dhruval said: (Aug 18, 2014)  
Thanks for explain 0.101 = 0.625.

Javad Baig said: (Mar 25, 2016)  
@Gsb.

Why we divide by 8?

Poonam said: (Mar 28, 2016)  
Because after decimal negative power starts. So when you convert a binary no having a decimal point then you have to multiply by 2^(negative power starts from -1 rather than 1).

Priyanka said: (Jun 1, 2016)  
Thanks for explaining the solution.

Seenu147 said: (Aug 10, 2016)  
Why we can't use 8421 which means in this problem 1101-> 8 + 4 + 0 + 1=15.

Jaswanth said: (Nov 14, 2016)  
@Seenu147.

8 + 4 + 0 + 1 = 13.

Dinesh said: (Feb 13, 2018)  
1(1÷2^1)+1(1÷2^2)+1(1÷2^3)=(1÷2)+(1÷8)=0.625.

Ashwin said: (Mar 2, 2018)  
It's wrong method.

Because the Binary form is in sequence so Please Explain in detail.

Suresh said: (Nov 2, 2018)  
1*2^1=1/2,
1*2^2=0,
1*2^3=1/8,
1/2+0+1/8 = 625.

Technandan said: (May 14, 2019)  
You are right, Thanks @Paavan.

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