diff --git a/Pasted image 20250224104850.png b/Pasted image 20250224104850.png new file mode 100644 index 0000000..3d77719 Binary files /dev/null and b/Pasted image 20250224104850.png differ diff --git a/education/computer engineering/ECE2700/Karnaugh Maps.md b/education/computer engineering/ECE2700/Karnaugh Maps.md index 44c7605..4177f3a 100644 --- a/education/computer engineering/ECE2700/Karnaugh Maps.md +++ b/education/computer engineering/ECE2700/Karnaugh Maps.md @@ -4,7 +4,8 @@ A Karnaugh map is an alternative to a truth table for representing a function in Given the above truth table, the columns are labelled with $x_1$, and the rows are labelled with $x_2$. -To find a minimum cost implementation, we need to find the smallest number of product terms that should produce a 1 for all instances where $m = 1$ +To find a minimal boolean expression with a ka, we need to find the smallest number of product terms ($x_1$, $x_2$) that should produce a 1 for all instances where the cell in a table is $1$. -In the above example, -![[Pasted image 20250224104550.png]] +![[Pasted image 20250224104850.png]] + +Given the map described in the above image, the output is $1$ for the row where $x_2$ is equal to 1. Similarly, the output is $1$ for the column where $x_2$. By ORing the condition where $x_1$ is zero ($\overline{x_1}$), and the condition where $x_2$ is one ($x_1$), we can find a minimal expression for the truth table. \ No newline at end of file