Question about kmaps and grouping

[leonne]

Homework Statement

I got a question about grouping of 1 in kmap,
ex in 16 cell

1100
1100
1110
1010
so i box the top left 4 then i box the two on the bottom right. now this part i don't get, they box 4 other ones overlapping the top box. why don't they just box the two by them self, also can you box a row of 3?, never seen it but don't know why. Does it have to go by 2 or something? Also the bottom left one why do they box that whole column, why not just box it the on on top?
thanks
also in a 3 variable k map, i never saw them box the whole row, they just box two in separate boxes why?

also in
0001
0111
0110
0110
they don't do the overlaping 4 cell boxes they just box the two on top and they show the static hazard it makes, so confusing lol

Homework Equations

The Attempt at a Solution

 

[Valkarie]

For the 16-cell K-map, it is possible to box 4 cells in a single group. The reason for this is because there are two cells that share the same logic values, so you can combine them into a single group. For the 3-variable K-map, it is possible to box 3 cells in a single group. This is because there are three cells that share the same logic values, so you can combine them into a single group.In the example you gave, the two cells on the top are already grouped together, so they do not need to be boxed separately. The bottom left cell is being boxed together with the column because it has the same logic value as the other cells in that column.