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ch01_complete

# ch01_complete - F.1 Chapter 1 Solutions 1.1 Every computer...

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F.1 Chapter 1 Solutions 1.1 Every computer can do the same thing as every other computer. A smaller or slower computer will just take longer. 1.2 No. 1.3 It is hard to increase the accuracy of analog machines. 1.4 Ambiguity. 1.5 (a) inputs to first (x) box are a and x output of first (x) box is ax inputs to second (+) box are ax and b output of second (+) box is ax + b (b) inputs to first (+) box are w and x output of first (+) box is w + x inputs to second (+) box are y and z output of second (+) box is y + z inputs to third (+) box are ( w + x ) and ( y + z ) output of third (+) box is w + x + y + z inputs to fourth (x) box are ( w + x + y + z ) and .25 output of fourth (x) box is 0 . 25( w + x + y + z ) , which is the average (c) The key is to factor a 2 + 2 ab + b 2 = ( a + b ) 2 inputs to first (+) box are a and b output of first (+) box is a + b inputs to second (x) box are ( a + b ) and ( a + b ) output of second (x) box is ( a + b ) 2 = a 2 + 2 ab + b 2 1.6 Any ambiguous statement is fine. For example: I ate my sandwich on a bed of lettuce. The sandwich might have been sitting on a bed of lettuce on the plate, or I might have been sitting on a bed of lettuce eating a sandwich. 1.7 If the taxi driver is honorable, he/she asks you whether time or money is more important to you, and then gets you to the airport as quickly or as cheaply as possible. You are freed from knowing anything about the various ways one can get to the airport. If the taxi driver is dishonorable, you get to the airport late enough to miss your flight and/or at a taxi fare far in excess of what it should have been, as the taxi driver takes a very circuitous route.

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ch01_complete - F.1 Chapter 1 Solutions 1.1 Every computer...

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