feat(L01): add number systems and storage card
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<svg xmlns="http://www.w3.org/2000/svg" width="640" height="300" viewBox="0 0 640 300" role="img" aria-labelledby="title desc">
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<title id="title">Od wartości do bajtów pamięci</title><desc id="desc">Wartość 173 ma reprezentację binarną i szesnastkową. Słowo 0x12345678 jest zapisane w pamięci little-endian.</desc>
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<defs><marker id="a" markerWidth="9" markerHeight="9" refX="8" refY="3" orient="auto"><path d="M0 0L0 6L9 3z" fill="#334155"/></marker><style>.b{fill:#f8fafc;stroke:#334155;stroke-width:2}.x{fill:#dbeafe;stroke:#2563eb}.m{fill:#dcfce7;stroke:#16a34a}.t{font:700 19px sans-serif;fill:#0f172a}.s{font:15px sans-serif;fill:#334155}.l{stroke:#334155;stroke-width:3;marker-end:url(#a)}</style></defs>
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<rect class="b" x="25" y="35" width="125" height="75" rx="12"/><text class="t" x="88" y="68" text-anchor="middle">173₁₀</text><text class="s" x="88" y="93" text-anchor="middle">wartość</text>
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<path class="l" d="M150 72H205"/><rect class="b x" x="205" y="25" width="190" height="95" rx="12"/><text class="t" x="300" y="60" text-anchor="middle">1010 1101₂</text><text class="t" x="300" y="90" text-anchor="middle">AD₁₆</text><text class="s" x="300" y="112" text-anchor="middle">te same bity</text>
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<text class="t" x="25" y="170">0x12345678</text><text class="s" x="25" y="194">32-bitowe słowo</text><path class="l" d="M155 180H215"/>
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<g transform="translate(215 145)"><rect class="b m" width="92" height="75"/><rect class="b m" x="92" width="92" height="75"/><rect class="b m" x="184" width="92" height="75"/><rect class="b m" x="276" width="92" height="75"/><text class="t" x="46" y="35" text-anchor="middle">78</text><text class="t" x="138" y="35" text-anchor="middle">56</text><text class="t" x="230" y="35" text-anchor="middle">34</text><text class="t" x="322" y="35" text-anchor="middle">12</text><text class="s" x="46" y="62" text-anchor="middle">addr+0</text><text class="s" x="138" y="62" text-anchor="middle">addr+1</text><text class="s" x="230" y="62" text-anchor="middle">addr+2</text><text class="s" x="322" y="62" text-anchor="middle">addr+3</text></g>
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<text class="s" x="399" y="260" text-anchor="middle">little-endian: najmłodszy bajt pod najniższym adresem</text>
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\noindent{\Large\bfseries Cel karty}\par
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\vspace{0.35em}
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Uczeń łączy wartość z reprezentacją bitową, rozróżnia rozszerzenie znaku od zerowego i wyjaśnia zapis 32-bitowego słowa w pamięci little-endian.
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\noindent{\Large\bfseries Zakres tasków}\par
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\textbf{Krok} & \textbf{Numer tasku} & \textbf{Najważniejsza idea} & \textbf{Priorytet} & \textbf{Status} & \textbf{Version} \\ \hline
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\texttt{1} & \texttt{Task01} & wartość, bin, hex i wagi & obowiązkowe & opracowane & \texttt{v00.01} \\ \hline
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\texttt{1} & \texttt{Task02} & sign extension i shifts & obowiązkowe & opracowane & \texttt{v00.01} \\ \hline
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\texttt{1} & \texttt{Task03} & little-endian storage & obowiązkowe & opracowane & \texttt{v00.01} \\ \hline
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\section{Task01 · Wartość i reprezentacja}
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{\bfseries\textcolor{black!65}{OG}\par}%
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||||
\vspace{0.08em}%
|
||||
\hspace*{0.00em}\textcolor{red}{WE~01}\textcolor{black!48}{}\par%
|
||||
\end{minipage}%
|
||||
}%
|
||||
\end{minipage}%
|
||||
}[-3.1em]
|
||||
|
||||
|
||||
\begingroup
|
||||
\scriptsize\ttfamily\color{black!60}\sloppy
|
||||
\noindent drzewka: \pdftooltip[width=\textwidth]{D1}{RV01.WE01.OG.IP.01 | WE 01: Bits and storage. Podstawy kodowania liczb i pamięci dla RV32I.\textCR | EN IP RV01.01: Uczeń analizuje bity i system pozycyjny. | KW IP RV01.01: Odtwarza wartość\textCR z wag bitów.} \pdftooltip[width=\textwidth]{D2}{RV01.WE01.TECH.I4.01 | WE 01: Bits and storage. Podstawy kodowania liczb i pamięci dla\textCR RV32I. | EK INF04 RV01.01: Uczeń implementuje semantykę danych RV32I. | KW INF04 RV01.01:\textCR Weryfikuje extension, shifts i endian.}\par
|
||||
\vspace{0.10em}%
|
||||
\noindent K1: Potwierdź binary=10101101, hex=AD i weighted=173.\quad D1\par
|
||||
\par\vspace{0.18em}%
|
||||
\endgroup
|
||||
|
||||
Rozłóż 173 na wagi bitów. Potwierdź, że 10101101 w bazie 2 i AD w bazie 16 opisują dokładnie te same osiem bitów.
|
||||
\begin{figure}[H]
|
||||
\centering
|
||||
\includegraphics[width=0.72\linewidth]{\detokenize{../assets/number-storage.png}}
|
||||
\caption{Reprezentacja zachowuje wartość; endian określa kolejność bajtów w pamięci.}
|
||||
\label{fig:number-storage}
|
||||
\end{figure}
|
||||
\ESCSectionBlockEnd
|
||||
|
||||
\ESCSectionBlockStart
|
||||
\section{Task02 · Rozszerzenia i przesunięcia}
|
||||
\reversemarginpar
|
||||
\marginnote[%
|
||||
\begin{minipage}{\marginparwidth}%
|
||||
\raggedright
|
||||
{\fontsize{3.55}{3.95}\selectfont\ttfamily
|
||||
\begin{minipage}[t]{\marginparwidth}%
|
||||
\raggedright
|
||||
{\bfseries\textcolor{black!65}{TECH}\par}%
|
||||
\vspace{0.08em}%
|
||||
\hspace*{0.00em}\textcolor{red}{WE~01}\textcolor{black!48}{}\par%
|
||||
\end{minipage}%
|
||||
}%
|
||||
\end{minipage}%
|
||||
]{}[-3.1em]
|
||||
\normalmarginpar
|
||||
|
||||
\marginnote{%
|
||||
\begin{minipage}{\marginparwidth}%
|
||||
\raggedright
|
||||
{\fontsize{3.55}{3.95}\selectfont\ttfamily
|
||||
\hspace*{0.06cm}%
|
||||
\begin{minipage}[t]{\dimexpr\marginparwidth-0.06cm\relax}%
|
||||
\raggedright
|
||||
{\bfseries\textcolor{black!65}{OG}\par}%
|
||||
\vspace{0.08em}%
|
||||
\hspace*{0.00em}\textcolor{red}{WE~01}\textcolor{black!48}{}\par%
|
||||
\end{minipage}%
|
||||
}%
|
||||
\end{minipage}%
|
||||
}[-3.1em]
|
||||
|
||||
|
||||
\begingroup
|
||||
\scriptsize\ttfamily\color{black!60}\sloppy
|
||||
\noindent drzewka: \pdftooltip[width=\textwidth]{D1}{RV01.WE01.OG.IP.01 | WE 01: Bits and storage. Podstawy kodowania liczb i pamięci dla RV32I.\textCR | EN IP RV01.01: Uczeń analizuje bity i system pozycyjny. | KW IP RV01.01: Odtwarza wartość\textCR z wag bitów.} \pdftooltip[width=\textwidth]{D2}{RV01.WE01.TECH.I4.01 | WE 01: Bits and storage. Podstawy kodowania liczb i pamięci dla\textCR RV32I. | EK INF04 RV01.01: Uczeń implementuje semantykę danych RV32I. | KW INF04 RV01.01:\textCR Weryfikuje extension, shifts i endian.}\par
|
||||
\vspace{0.10em}%
|
||||
\noindent K1: Zmierz zext=128, sext=-128, lsr1=64 i asr1=-64.\quad D2\par
|
||||
\par\vspace{0.18em}%
|
||||
\endgroup
|
||||
|
||||
Dla bajtu 0x80 porównaj zero extension z sign extension oraz logical shift right z arithmetic shift right. Wypełnienie zerem i bitem znaku daje różne liczby.
|
||||
\ESCSectionBlockEnd
|
||||
|
||||
\ESCSectionBlockStart
|
||||
\section{Task03 · Słowo w pamięci}
|
||||
\reversemarginpar
|
||||
\marginnote[%
|
||||
\begin{minipage}{\marginparwidth}%
|
||||
\raggedright
|
||||
{\fontsize{3.55}{3.95}\selectfont\ttfamily
|
||||
\begin{minipage}[t]{\marginparwidth}%
|
||||
\raggedright
|
||||
{\bfseries\textcolor{black!65}{TECH}\par}%
|
||||
\vspace{0.08em}%
|
||||
\hspace*{0.00em}\textcolor{red}{WE~01}\textcolor{black!48}{}\par%
|
||||
\end{minipage}%
|
||||
}%
|
||||
\end{minipage}%
|
||||
]{}[-3.1em]
|
||||
\normalmarginpar
|
||||
|
||||
\marginnote{%
|
||||
\begin{minipage}{\marginparwidth}%
|
||||
\raggedright
|
||||
{\fontsize{3.55}{3.95}\selectfont\ttfamily
|
||||
\hspace*{0.06cm}%
|
||||
\begin{minipage}[t]{\dimexpr\marginparwidth-0.06cm\relax}%
|
||||
\raggedright
|
||||
{\bfseries\textcolor{black!65}{OG}\par}%
|
||||
\vspace{0.08em}%
|
||||
\hspace*{0.00em}\textcolor{red}{WE~01}\textcolor{black!48}{}\par%
|
||||
\end{minipage}%
|
||||
}%
|
||||
\end{minipage}%
|
||||
}[-3.1em]
|
||||
|
||||
|
||||
\begingroup
|
||||
\scriptsize\ttfamily\color{black!60}\sloppy
|
||||
\noindent drzewka: \pdftooltip[width=\textwidth]{D1}{RV01.WE01.OG.IP.01 | WE 01: Bits and storage. Podstawy kodowania liczb i pamięci dla RV32I.\textCR | EN IP RV01.01: Uczeń analizuje bity i system pozycyjny. | KW IP RV01.01: Odtwarza wartość\textCR z wag bitów.} \pdftooltip[width=\textwidth]{D2}{RV01.WE01.TECH.I4.01 | WE 01: Bits and storage. Podstawy kodowania liczb i pamięci dla\textCR RV32I. | EK INF04 RV01.01: Uczeń implementuje semantykę danych RV32I. | KW INF04 RV01.01:\textCR Weryfikuje extension, shifts i endian.}\par
|
||||
\vspace{0.10em}%
|
||||
\noindent K1: Potwierdź bytes=78,56,34,12, roundtrip=1 i zapisz VCD.\quad D2\par
|
||||
\par\vspace{0.18em}%
|
||||
\endgroup
|
||||
|
||||
Zapisz 0x12345678 pod adresem 0 w pamięci bajtowej. Little-endian umieszcza bajty 78,56,34,12 pod rosnącymi adresami; odczyt słowa musi odtworzyć wartość.
|
||||
\ESCSectionBlockEnd
|
||||
|
||||
\end{document}
|
||||
@@ -0,0 +1,7 @@
|
||||
\newcommand{\PublisherDomain}{mpabi}
|
||||
\newcommand{\CardArea}{inf}
|
||||
\newcommand{\CardSeries}{rv32i-asm}
|
||||
\newcommand{\CardNumber}{01}
|
||||
\newcommand{\CardSlug}{number-systems}
|
||||
\newcommand{\CardVersion}{v00.01}
|
||||
\newcommand{\DocumentUUID}{d132962b-7deb-5605-8567-d5d35f688230}
|
||||
Reference in New Issue
Block a user