From d61040041bf28cba6bc25f22bc06ee8184487855 Mon Sep 17 00:00:00 2001
From: Roger Wolf <roger.wolf@kit.edu>
Date: Tue, 29 Oct 2024 11:44:45 +0100
Subject: [PATCH] adding files

---
 Schaltlogik/doc/Hinweise-Logik.md |  81 ++++++++++++++++++++++++++++++
 Schaltlogik/figures/FPGA.odg      | Bin 0 -> 3071471 bytes
 Schaltlogik/figures/FPGA.png      | Bin 0 -> 960749 bytes
 3 files changed, 81 insertions(+)
 create mode 100644 Schaltlogik/doc/Hinweise-Logik.md
 create mode 100644 Schaltlogik/figures/FPGA.odg
 create mode 100644 Schaltlogik/figures/FPGA.png

diff --git a/Schaltlogik/doc/Hinweise-Logik.md b/Schaltlogik/doc/Hinweise-Logik.md
new file mode 100644
index 0000000..279ea08
--- /dev/null
+++ b/Schaltlogik/doc/Hinweise-Logik.md
@@ -0,0 +1,81 @@
+# Hinweise für den Versuch Schaltlogik
+
+## Schaltung eines NOT- aus einem NOR-Gatter
+
+Die Wahrheitstafel für das **NOR-Gatter** ist
+$$
+\begin{equation}
+\begin{array}{cc|c}
+    \mathrm{A} &   \mathrm{B} &   \mathrm{Y = \overline{A \lor B}} \\
+    \hline
+    \mathbf{0} &   \mathbf{0} &   \mathbf{1} \\
+    0 &   1 &   0 \\
+    1 &   0 &   0 \\
+    \mathbf{1} &   \mathbf{1} &   \mathbf{0} \\
+\end{array}
+\end{equation}
+$$
+Dieses lässt sich zu einem **NOT-Gatter für den Eingang A** reduzieren, indem man die Bedingung 
+$$
+\begin{equation*}
+A=B
+\end{equation*}
+$$
+an den Eingängen A und B implementiert, wie aus den hervorgehobenen **Zeilen 1 und 4 der Wahrheitstafel in Gleichung (1)** zu erkennen ist. 
+
+Man erhält das gleiche Ergebnis, für die Bedingung
+$$
+\begin{equation}
+\begin{split}
+&\begin{array}{cc|c}
+    \mathrm{A} &   \mathrm{B} &   \mathrm{Y = \overline{A \lor B}} \\
+    \hline
+    \mathbf{0} &   \mathbf{0} &   \mathbf{1} \\
+    0 &   1 &   0 \\
+    \mathbf{1} &   \mathbf{0} &   \mathbf{0} \\
+    1 &   1 &   0 \\
+\end{array} \\
+&\\
+&\text{mit: } \mathrm{B=0},\\
+\end{split}
+\end{equation}
+$$
+wie in den hervorgehobenen **Zeilen 1 und 3 in der Wahrheitstafel aus Gleichung (2)** zu sehen ist.
+
+## Schaltung eines NOT- aus einem NAND-Gatter
+
+Ähnliche Bedingungen kann man ableiten, um das NAND- zu einem NOT-Gatter zu reduzieren, wie in Gleichungen **(3)** gezeigt:
+$$
+\begin{equation}
+\begin{split}
+&\begin{array}{cc|c}
+    \mathrm{A} &   \mathrm{B} &   \mathrm{Y = \overline{A \land B}} \\
+    \hline
+    \mathbf{0} &   \mathbf{0} &   \mathbf{1} \\
+    0 &   1 &   1 \\
+    1 &   0 &   1 \\
+    \mathbf{1} &   \mathbf{1} &   \mathbf{0} \\
+\end{array}\\
+&\\
+&\text{mit: } \mathrm{A=B}\\
+&\\
+&\\
+&\begin{array}{cc|c}
+    \mathrm{A} &   \mathrm{B} &   \mathrm{Y = \overline{A \land B}} \\
+    \hline
+    0 &   0 &   1 \\
+    \mathrm{0} &   \mathrm{1} &   \mathrm{1} \\
+    1 &   0 &   1 \\
+    \mathbf{1} &   \mathbf{1} &   \mathbf{0} \\
+\end{array}\\
+&\\
+&\text{mit: } \mathrm{B=1}.\\
+\end{split}
+\end{equation}
+$$
+
+
+# Navigation
+
+[Main](https://gitlab.kit.edu/kit/etp-lehre/p1-praktikum/students/-/tree/main/Schaltlogik)
+
diff --git a/Schaltlogik/figures/FPGA.odg b/Schaltlogik/figures/FPGA.odg
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literal 0
HcmV?d00001

-- 
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