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.

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)

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

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

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

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

Santoo said:   1 decade ago
Can you please tell me the briefly information for that equal to 0.625 for binary of 101?

Gsb said:   1 decade ago
1*(1/2) = 0.5.
1*(1/8) = 0.125.
After adding 0.625.

Dhruval said:   1 decade ago
Thanks for explain 0.101 = 0.625.

Javad baig said:   9 years ago
@Gsb.

Why we divide by 8?

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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