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problemset1solutions

# problemset1solutions - Department of Electrical and...

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Department of Electrical and Computer Engineering The University of Texas at Austin EE 306, Fall 2006 Problem Set 1 Solutions Due: 13 September, before class Yale N. Patt, Instructor TAs: Aseem Bathla, Cameron Davison, Lisa de la Fuente, Phillip Duran, Jose Joao, Jasveen Kaur, Rustam Miftakhutdinov, Veynu Narasiman, Nady Obeid, Poorna Samanta Instructions: You are encouraged to work on the problem set in groups and turn in one problem set for the entire group. Remember to put all your names on the solution sheet. Also, remember to put the name of the TA and the time for the discussion section you would like the problem set turned back to you. Show your work. Please remember to turn in the Student Information Sheet with a recognizable photograph on the same day you turn in this problem set. 1. (15pts) (Adapted from problem 1.5 in the textbook) Say we had a "black box," which takes two numbers as input and outputs their sum. See Figure 1.7a in the Textbook. Say we had another box capable of multiplying two numbers together. See figure 1.7b. We can connect these boxes together to calculate p * (m + n). See Figure 1.7c. Assume we have an unlimited number of these boxes. Show how to connect them together to calculate:

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a. (2pts) ax+b
b. (3pts) The average of the four input numbers w, x, y, and z c. (5pts) a 2 + 2ab + b 2 (can you do it with one add box and one multiply box?)

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d.

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problemset1solutions - Department of Electrical and...

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