Electronics and Communication Engineering - Microprocessors - Discussion

Discussion Forum : Microprocessors - Section 1 (Q.No. 5)
5.
Binary number 1101.101 is equivalent to decimal number?
13.5
13.75
13.625
13.875
Answer: Option
Explanation:

Binary .101 equals 0.625 in decimal.

Discussion:
15 comments Page 1 of 2.

Shweta chimurkar said:   8 months ago
1101 binary= 13 in decimal.
and after the decimal point.
101 = (1*(1/2power1)) + (0*(1/2power2)) + (1*(1/2power3)).
= (1/2 + 1/8),
= (4+1)/8,
= 5/8,
= 0.625.

Saif Ali Khan said:   5 years ago
How come .625? Please explain.
(2)

Technandan said:   6 years ago
You are right, Thanks @Paavan.

Suresh said:   7 years ago
1*2^1=1/2,
1*2^2=0,
1*2^3=1/8,
1/2+0+1/8 = 625.
(3)

Ashwin said:   7 years ago
It's wrong method.

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

Dinesh said:   8 years ago
1(1÷2^1)+1(1÷2^2)+1(1÷2^3)=(1÷2)+(1÷8)=0.625.
(1)

Jaswanth said:   9 years ago
@Seenu147.

8 + 4 + 0 + 1 = 13.

Seenu147 said:   9 years ago
Why we can't use 8421 which means in this problem 1101-> 8 + 4 + 0 + 1=15.
(1)

Priyanka said:   9 years ago
Thanks for explaining the solution.

POONAM said:   9 years ago
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).


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