# 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

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.