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270L05Notes

# 270L05Notes - EECS 270 Fall 2009 Lecture 5 of 6 Page 1 I...

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EECS 270, Fall 2009, Lecture 5 Page 1 of 6 I. Announcements We are changing things up. Dr. Sakallah will be teaching the next 3 lectures. II. Some additional stuff A few catch-up things about 2’s complement numbers. First of all, let’s consider what happens when we add 2’s complement numbers and we get an overflow. Consider the 4-bit case where we add 7+1. The result will be -8 (see picture). If we then subtract 2 we’ll get back to 6! Question: What is ((4+4)+4)-6 when we do the math as a 4-bit 2’s complement number? Second , in order to find the complement of a 2’s complement number (change the sign) all you need to do is complement each bit (0s go to 1s and 1s go to 0s) and then add one. Try it with 0101 and with 1011. In what case doesn’t this work? Tri-state devices III. The day of problem solving As our class schedule indicates, today we are going to spend most of the day working sample problems. A. Using the rules of logic, convert (A+B)’*(D*C)’ into sum-of-products form. Provide the name of the rule used for each step.

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270L05Notes - EECS 270 Fall 2009 Lecture 5 of 6 Page 1 I...

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