boolean-logickarnaugh-map

Ungrouped ones in karnaugh map


QUESTIONS AND ANSWERS PLEASE CLICK

There are ungrouped ones in the answers to the questions I showed in the picture.Bottom one is my solving style but the right answer is upper pic .Shouldn't we group each one in the map? What is this?


Solution

  • The drawing is a little unclear I think.

    If you read the actual answer, you'll notice that there are two options for the final grouping:

    A'BD
     or
    BCD
    

    BCD is the grouping in red in your answer, while A'BD is the grouping:

    A'BD grouping

    So there are two options for grouping that lone 1, and the answer considers both of them. It just doesn't draw both of them.


    The giveaway is that a single cell needs 4 terms to specify it -- that 1 on its own would be A'BCD. However there aren't any elements with 4 terms in the answer, which means that the answer must have grouped it with another cell.