CSC270 Homework 3

© 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