Assignment01Fall2010Solutions

Assignment01Fall2010Solutions - 525.412 Computer...

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Unformatted text preview: 525.412 Computer Architecture Assignment 1 Solutions 1.1 The PowerPC 601 processor addresses a maximum of 2 32 bytes of memory. What is the maxi- mum number of 64-bit words that can be stored in this memory? Solution There are 8 bytes = 2 3 bytes in a 64-bit word. Therefore, there are 1 2 32 bytes 2 3 bytes / word = 2 29 words = 2 9 Miwords = 512 Miwords = 2 19 Kiwords = 524288 Kiwords = 536870912 words = 537 Mwords . 1.6 a. What is the percentage relative error in using 2 10 as an approximation for 10 3 ? Solution Relative error is given by = value achieved- value desired value desired so = 2 10- 10 3 10 3 = 2 . 40% . b. What is the percentage relative error in using 2 30 as an approximation for 10 9 ? Solution = 2 30- 10 9 10 9 = 7 . 37% . 1 Note: see Table 1 on the following page for an explanation of some of the prefixes that appear here. 1 Factor Name Symbol Origin Derivation 2 10 kibi Ki kilobinary: (2 10 ) 1 kilo: (10 3 ) 1 2 20 mebi Mi megabinary: (2 10 ) 2 mega: (10 3 ) 2 2 30...
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Assignment01Fall2010Solutions - 525.412 Computer...

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