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\lhead{Technische Universität Berlin\\Numerische Mathematik I - WS 2019/2020}
\rhead{Prof.~V.~Mehrmann}
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%{\LARGE Numerische Mathematik}\\[1.5ex]
%%{\large \CurrentWeekNb. \"Ubungsblatt}\\ 
{\Large Lösungsskizzen für die \CurrentWeekNb. Tutorien}\\ 
{Woche 4.11-9.11.19}\\
%\\{Diese Aufgaben müßen spätestens am 24.10.19 in der Vorlesung abgegeben werden.}
%{Abgabe:} Spätestens am 24.10.19 in der Vorlesung\\[0.5cm]
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%\hfill {Abgabe: Spätestens am 24.10.19 in der Vorlesung}\\[0.5cm]
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\begin{enumerate} 
\item $\mathbb{M}(2,4,2)$ bedeutet 2 Ziffer (0/1), 4 Ziffer nach dem Komma in normalisierter Darstellung, 2 Ziffer für den Exponent.

Mögliche Mantisse: $\pm 1000, \pm1001, \pm1010, \ldots, \pm1111$\\
$\to$ d.h. von $\pm 2^{-1}=\pm 1/2$ bis $\pm(2^{-1}+2^{-2}+2^{-3}+2^{-4})=\pm 15/16$.\\

Mögliche Exponente: $\pm 00,\pm 01, \pm 10, \pm 11$\\
$\to$ d.h. von $\pm(0*2^{0}+ 0* 2^1)=0$ bis $\pm(1*2^{0}+1*2^{1})=\pm 3$.\\

$\Rightarrow$ \texttt{xmin}=1/2 $\cdot 2^{-3}= 2^{-4}$, \texttt{xmax}=15/16 $\cdot 2^{3}= 15/2=7.5$, \texttt{eps}=$\frac{p}{2}p^{-m}= \frac{2}{2}2^{-4}=2^{-4}$

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\item Siehe Datei "{}tuto3-loesung2.pdf"{} im git-Repository
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Falls Zeit übrig bleibt nach den 2 Aufgaben, können Aufgaben von den letzen Wochen (Tutorienaufgaben, die nicht fertig geschafft wurden oder "{}Musterlösung"{} von schon abgegebenen Hausaufgaben)  diskutiert werden.

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