Binary division of odd number by 10 to float

Question

I have a question about division by 10 in binary. If I have *1/10 (11/10, 111/10, 1001/10... It is same.) the result is *.1 or *.101?

If I convert this problem to decimal, it is:

1/2=0.5

1/10=0.101

But if I calculate this in binary, it is:

1/10=0 (remainder 1)

0.10/10=0.10

so 1/10=0.1

I tried to solve this problem using binary calculator. This calculator here http://www.miniwebtool.com/binary-calculator/ said that the result is 0.1. Calculator in my Android phone said 0.101.

So, what is right and why?

(sorry for my english)

Answer 1

One half is 0.1 in binary. I don't know how you have been using your Android phone calculator, but that is not the right way to use it. (101 in binary is five, but that is not how you convert the digits after the decimal dot).

Answer 2

Well... depends on how you look at it.

1/10₁₀ equals 0.1₁₀ equals approximately 0.00011₂.

1/10₂ equals 0.1₂ equals 0.5₁₀.