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probset1_sol

# probset1_sol - Department of Electrical and Computer...

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Department of Electrical and Computer Engineering The University of Texas at Austin EE 306, Fall 2009 Problem Set 1 Solution Due: 9 September, before class Yale N. Patt, Instructor TAs: Aater Suleman, Chang Joo Lee, Ameya Chaudhari, Antonius Keddis, Arvind Chandrababu, Bhargavi Narayanasetty, Eshar Ben-dor, Faruk Guvenilir, Marc Kellerman, RJ Harden, Veynu Narasiman 1. Please turn in the Student Information Sheet with a recognizable photograph on the same day you turn in this problem set. 2. (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: a. ax+b b. The average of the four input numbers w, x, y, and z c. a 2 + 2ab + b 2 (can you do it with one add box and one multiply box?) d. a 6 (can you do it using only 3 multiply boxes?)

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