Question

Convert the following quantity to IEEE 754 single-precision floating-point.:

18.125

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I have watched several videos and researched a lot on the internet (including Wikipedia) but I still can't understand this.

Could someone please show me the steps and logic behind this problem and explain to me the steps in extra detail?

Sorry if I am asking for a lot, it's just that I've been trying hard to understand this procedure and I'm very confused.

Answer 1

Based on my current understanding, there is a number called the "sign bit" which is 0 for a positive number and 1 for a negative number multiplied by 1.fraction which is turn multiplied by 2^(exponent-bias). My problem is I just don't know how to find all these missing values.

Any help would be greatly appreciated!

Answer 2

Here's a tool you can play around with to get a feel for how the numbers work. Each check-box is a bit.

http://www.h-schmidt.net/FloatConverter/IEEE754.html

Or, if you're not interested in learning, you can enter 18.25 into the decimal box and hit enter.

Answer 3

Sorry for the late response.

I AM interested in learning. ;)

I think this along with wolframalpha.com will help me finally understand this.

Thanks!