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Goodwill, Purchased Technology and Other Intangible Assets (Future Estimated Amortization Expense) (Details) - USD ($)
$ in Millions
Oct. 25, 2015
Oct. 26, 2014
Future estimated amortization expense    
2016 $ 189  
2017 186  
2018 185  
2019 44  
2020 39  
Thereafter 94  
Carrying amount $ 737 $ 824