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Revision as of 14:01, 11 February 2009
© D. Thiebaut, 2009
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This assignment is due on Wednesday evening, at the beginning of Lab 4.
Exercise 1
Assume that we have a boolean function f(a, b, c, d) = Σ( 5, 7, 15 ).
- What is its minimal form, as given by a Karnaugh map?
Assume furthermore we know that the the signals a and b are never both equal to 1 at the same time, and that c and d are never both equal to 00 at the same time. So, for example, the signals a, b, c, d will never be in the state 1 1 0 1, because that would require a, and b to be 1. Similarly, the condition a = 0, b=1, c=0, d=0 will never occur either, because c and d are 0 in this case.
How can we use this information to our advantage, as logic designers?
Exercise 2
What is the simplified expression of the function g(a, b, c, d, e) expressed by the Karnaugh map above?
