For reference, this section introduces the terminology used in some texts to describe the minterms and maxterms assigned to a Karnaugh map. Otherwise, there is no new material here.
Terminology for Minterms
Σ (sigma) indicates sum and lower case “m” indicates minterms. Σm indicates sum of minterms. The following example is revisited to illustrate our point. Instead of a Boolean equation description of unsimplified logic, we list the minterms.
Spotify just updated to version 0.9.10.14 on my Mac desktop app. It looks like all the threads with release notes are out of date. Does anyone know what the update included? Also, does anyone know why the release notes are no longer posted regularly? It looks like the last posts were from like 2013. Several fantastic pieces of free and open-source software have really helped get Spotify to where it is today. Here are the sources to the great Chromium Embedded Framework that is used by the Spotify Desktop client.
The numbers indicate cell location, or address, within a Karnaugh map as shown below right. This is certainly a compact means of describing a list of minterms or cells in a K-map.
The Sum-Of-Products solution is not affected by the new terminology. The minterms, 1s, in the map have been grouped as usual and a Sum-OF-Products solution written.
Terminology for Maxterms
Below, we show the terminology for describing a list of maxterms. Product is indicated by the Greek Π (pi), and upper case “M” indicates maxterms. ΠM indicates product of maxterms. The same example illustrates our point.
The Boolean equation description of unsimplified logic, is replaced by a list of maxterms.
Once again, the numbers indicate K-map cell address locations. For maxterms this is the location of 0s, as shown below. A Product-OF-Sums solution is completed in the usual manner.
$$Out = (A + B + bar{C} + D)(A + bar{B} + bar{C} + D) + (bar{A} + B + C + bar{D}) + (bar{A} + B + bar{C} + D)$$
$$(bar{A} + B + bar{C} +bar{D})(bar{A} + bar{B} + bar{C} + D)$$
RELATED WORKSHEETS:
Spotify 9.10.14 Downloader
By Sarah ConnorUpdated on May 30, 2019
Comments are closed.
|
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |