lecture 6
Post on 05-Jan-2016
47 Views
Preview:
DESCRIPTION
Lecture 6. Karnaugh Map. Logic Reduction Using Karnaugh Map. Create a Karnaugh Map C ircle (2, 4, 8..) 1’s. OR the minterm generated by each loop. Setting Up Karnaugh Map. Karnaugh Map for 2-Variables. 3-Variables Karnaugh Map. 3-Variable Karnaugh Map. Notice the order: - PowerPoint PPT Presentation
TRANSCRIPT
Lecture 6
Karnaugh Map
Logic Reduction Using Karnaugh Map
• Create a Karnaugh Map• Circle (2, 4, 8..) 1’s. • OR the minterm generated by each
loop
Setting Up Karnaugh Map
Karnaugh Map for 2-Variables
3-Variables Karnaugh Map
3-Variable Karnaugh Map
Notice the order:00011110(outputs)
Karnaugh Map for 4-Variables
Example 1
𝑂𝑢𝑡𝑝𝑢𝑡=𝐵𝐶+𝐵𝐶+ 𝐴𝐶
Example 2
𝑂𝑢𝑡𝑝𝑢𝑡=𝐵𝐶+𝐵𝐶+ 𝐴𝐶
Home Alarm Example
Notation
𝐹 (𝑥 , 𝑦 ,𝑧 )=Σ(2,3,4,5)
Looping
• Groups of Two• Groups of Four• Group of Eight
Looping Groups of Two
Looping Groups of Four
Looping Groups of Eight
Problem 1
Solution to Problem 1
Problem 2
Solution to Problem 2
Problem 3
Solution for Problem 3
Two Equally Valid Solutions
top related