1 / 3

Karnaugh map

A B. AB C. AB CD. 1. 0. 1. 0. 1. 1. 0. 1. 1. 1. 1. 1. 1. 1. 1. 0. 1. 0. 1. 1. 0. 1. 0. 0. 1. 1. 0. 0. A. 0 1. 00 01 11 10. 00 01 11 10. 0 1. 0 1. 0 1. 00 01 11 10. 0. 1. Karnaugh map.

lucita
Download Presentation

Karnaugh map

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. A B AB C AB CD 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 1 1 0 0 A 0 1 00 01 11 10 00 01 11 10 0 1 0 1 0 1 00 01 11 10 0 1 Karnaugh map • Karnaugh map allows viewing the function in a picture form • Map is arranged such that two neighbors differ in only one variable • It is easy to identify what terms can be combined • Two terms must be “adjacent” in the map • Example: 1, 2, 3, and 4 variables maps are shown below

  2. AB C AB C 0 0 1 1 0 0 1 1 1 0 1 0 0 1 0 1 00 01 11 10 00 01 11 10 0 1 0 1 Adder truth tables, functions, and K-map S = A’B’Cin + A’BCin’ + AB’Cin’ + ABCin Cout = BCin + ACin + AB

  3. XY Z XY ZW 0 1 1 1 0 0 1 1 0 1 1 1 1 0 0 1 0 0 1 0 1 0 0 0 00 01 11 10 00 01 11 10 0 1 00 01 11 10 Farmer’s example truth tables and K-maps • With three variables, we do not want X and Y or Y and Z to be equal (both 0 or both 1) at the same time • With four variables, it is not a problem if W is also the same F1 = X’Y’ + YZ + XZ’ F2 = X’ZW’+XYW’+Y’Z’W

More Related