vault backup: 2025-01-13 13:29:26

.obsidian/plugins/obsidian-git/data.json

@@ -1,27 +0,0 @@
-{
-  "commitMessage": "vault backup: {{date}}",
-  "autoCommitMessage": "vault backup: {{date}}",
-  "commitDateFormat": "YYYY-MM-DD HH:mm:ss",
-  "autoSaveInterval": 5,
-  "autoPushInterval": 0,
-  "autoPullInterval": 5,
-  "autoPullOnBoot": true,
-  "disablePush": false,
-  "pullBeforePush": true,
-  "disablePopups": false,
-  "listChangedFilesInMessageBody": false,
-  "showStatusBar": true,
-  "updateSubmodules": false,
-  "syncMethod": "merge",
-  "customMessageOnAutoBackup": false,
-  "autoBackupAfterFileChange": false,
-  "treeStructure": false,
-  "refreshSourceControl": true,
-  "basePath": "",
-  "differentIntervalCommitAndPush": false,
-  "changedFilesInStatusBar": false,
-  "showedMobileNotice": true,
-  "refreshSourceControlTimer": 7000,
-  "showBranchStatusBar": true,
-  "setLastSaveToLastCommit": false
-}

education/computer engineering/ECE2700/Binary Logic.md

@@ -38,9 +38,17 @@ Given the below truth table, synthesize a boolean expression that corresponds.
 | 0     | 1     | 1             |
 | 1     | 0     | 0             |
 | 1     | 1     | 1             |
-- $f(0, 0)$ evaluates to true with the term $\overline{x}_1 \cdot \overline{x}_2$ 
-- $f(0, 1)$ evaluates to true with the term $\overline{x}_1\cdot x_2$ 
-
+- $f(0, 0)$ evaluates to true with the expression $\overline{x}_1 \cdot \overline{x}_2$ 
+- $f(0, 1)$ evaluates to true with the expression $\overline{x}_1\cdot x_2$ 
+- $f(1, 0)$ should provide an output of zero, so that can be ignored
+- $f(1, 1)$ evaluates to true with the expression $x_1 \cdot x_2$
+ORing all of the above expression together, we get:
+$$ f(x_1, x_2) = \overline{x}_1\overline{x}_2 + \overline{x}_1 x_2 + x_1x_2 $$
+$$
+\begin{equation}
+= x_1 \\
+\end{equation}
+$$
 # Logic Gates
 
 ![](./assets/logic-gates.jpeg)