Thread: Ieee

I'm asked to find the binary double precision IEEE floating point expression.

My professor did this for the number 1,000

He said 1000 = 1111101000
= +1 x 1.11101 x 2^9

And thats the answer but i don't understand how to get the 1.11101 and the 2^9.

Any advice? Thanks.

Originally Posted by jzellt

I'm asked to find the binary double precision IEEE floating point expression.

My professor did this for the number 1,000

He said 1000 = 1111101000
= +1 x 1.11101 x 2^9

And thats the answer but i don't understand how to get the 1.11101 and the 2^9.

Any advice? Thanks.

Floating point is in the form 1.(something)

Since we have , we want to rewrite it in the floating point form: .

We note that in "scientific notation" (I use that very loosely),

So your professor is correct in saying

Does this clarify things?