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<div class="moz-cite-prefix">On 08/28/2015 04:30 PM, Laila Wise
wrote:<br>
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Good afternoon,<br>
<br>
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?<br>
<br>
Thank you,<br>
<br>
Laila Wise<br>
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<br>
maybe this will help.... look back to the IEEE standard...<br>
<br>
<img style="vertical-align: middle"
src="cid:part1.02040007.05060509@sandbox.mercer.edu" alt="$(-1)^s
2^{c-\beta} (1+f)$"><br>
<br>
for the exponent you are looking at the <img style="vertical-align:
middle" src="cid:part2.05000107.06030507@sandbox.mercer.edu"
alt="$2^{c-\beta}$"> term. Let's put this in term of logs. <br>
<br>
<img style="vertical-align: middle"
src="cid:part3.06040408.07070901@sandbox.mercer.edu"
alt="$(c-\beta) \ln 2 = 4932 \ln 10$"><br>
<br>
Solve this for the term <img style="vertical-align: middle"
src="cid:part4.05060406.05030102@sandbox.mercer.edu" alt="$(c -
\beta)$"> 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 <img style="vertical-align: middle"
src="cid:part5.05070507.09050006@sandbox.mercer.edu" alt="$\beta$">
because, if you remember, we have to be able to represent very large
and very small numbers.<br>
<br>
<br>
<br>
<pre class="moz-signature" cols="72">--
Andrew J. Pounds, Ph.D.
Professor of Chemistry and Computer Science
Mercer University, Macon, GA 31207 (478) 301-5627
<a class="moz-txt-link-freetext" href="http://faculty.mercer.edu/pounds_aj">http://faculty.mercer.edu/pounds_aj</a>
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