diff --git a/.obsidian/plugins/obsidian-git/data.json b/.obsidian/plugins/obsidian-git/data.json index bef4c6e..e69de29 100644 --- a/.obsidian/plugins/obsidian-git/data.json +++ b/.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 -} \ No newline at end of file diff --git a/education/computer engineering/ECE2700/Binary Logic.md b/education/computer engineering/ECE2700/Binary Logic.md index 6d69d44..92ad516 100644 --- a/education/computer engineering/ECE2700/Binary Logic.md +++ b/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)