Decimal convert

[uscuba2]

I need to convert decimal to IEEE 32- floating point for a couple homework problems by hand. I was wondering if my answers were correct.


13.5 is 0 0011011 00000000 00000000 00000000
-65.125 is 1 1000001 00010000 00000000 00000000

[quzah]

Why don't you convert them "not by hand" and see if they are what you expect them to be?


Quzah.

[uscuba2]

Why don't you convert them "not by hand" and see if they are what you expect them to be?


Quzah.

I would but do not know what to use/how to do so.

[Dakaa]

Decimal to Floating-Point Conversions

i used that tutorial.

[iMalc]

The exponent is 8 bits, not 7 and you don't store the value of the integral part in the exponent. How do you expect to store the number 500?
Go back to study scientific notation a little more to refresh your memory of how that is represented. It's the same thing here except that this is base 2.

I'll use a different example, 11.25.
First write the number in binary:
11.25 is:
8 + 0 + 2 + 1 + 0 + 0.25 =
1*2^3 + 0*2^2 + 1*2^1 + 1*2^0 + 0*2^-1 + 1*2^-2 =
1011.01
Now count how many times you have to move the decimal place to the left to move it to straight after the first digit:
101.101 = 1 time
10.1101 = 2 times
1.01101 = 3 times (so our exponent is 3)
What's left after the dot is the significand.
Now:
First bit = 0 because the number is positive.
We need to bias our exponent by 127 because that's the bias for a float. So our exponent becomes 127 + 3 = 130, and 130 in 8 binary bits is 10000010
Then comes our significand, which we pad with zeros to make it up to 23 bits:
01101000000000000000000
Then you put that together:
01000001 00110100 00000000 00000000