[CSC 335] Homework (Can wait until Monday to answer)

[Andrew Pounds]

On 08/28/2015 04:30 PM, Laila Wise wrote:
>
>
> Good afternoon,
>
> I have some mild confusion on your ffirst problem to us.  You state be 
> have 10 bytes, so 80 bits. If each of those is set at 1, the largest 
> number we can have is 2^81 - 1, or about 2.418 * 10^24. Our largest 
> number is 1.2 * 10^4932 so that shouldn't be possible according to my 
> understanding. Can you please point out to me what I am doing wrong?
>
> Thank you,
>
> Laila Wise

maybe this will help....     look back to the IEEE standard...

$(-1)^s 2^{c-\beta} (1+f)$

for the exponent you are looking at the $2^{c-\beta}$ term.  Let's put 
this in term of logs.

$(c-\beta) \ln 2 = 4932 \ln 10$

Solve this for the term $(c - \beta)$ and then figure out how many bits 
you need to represent that number (hint -- it's less than 20).  This 
should also help you pin down the value of $\beta$ because, if you 
remember, we have to be able to represent very large and very small numbers.



-- 
Andrew J. Pounds, Ph.D.
Professor of Chemistry and Computer Science
Mercer University,  Macon, GA 31207   (478) 301-5627
http://faculty.mercer.edu/pounds_aj

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