66731
xl xl or...
11 x x ).
Such terms are the result of using the modified theorems in transformations. Theycause
problems because they cannot be interpreted as other terms as a group of ls or Os in a Karnaugh
map. There is no such a celi in a Karnaugh map that would correspond to ... + + xl xl or... •• xl xl
and we have to analyse their meaning in another way.
When the function is normal, there is only one type of hazard that may occur and for SoP form it
is a static 1 hazard, for PoS form it is a static 0 hazard. Static hazards are very easy to perceive in
the Karnaugh map of a function so we simply need to draw it and fili it in accordingly to the logical
expression, carefully recreating groups of ls or Os. Once the map is completed, we look through
it for any logically adjacent ls (for SoP form) or Os (for PoS form) that are not covered by any
common group. Each such a pair found corresponds to a condition for a static hazard. When
transition from one to another happens as a result of the input change then a hazard occurs. To
prevent it from happening we have to add some extra groups covering all such pairs. While
creating these groups we should remember about the generał rules for
grouping, especially that
groups should be of a maximum possible size.
When all adjacent ls (or Os) are covered by at least one common group, the function is hazardfree
(i.e. free of the hazard corresponding to the form of a function).
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