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Goodwill, Purchased Technology and Other Intangible Assets (Estimated Amortization Expense) (Details) - USD ($)
$ in Millions
Jul. 29, 2018
Oct. 29, 2017
Future estimated amortization expense    
2018 (remaining 3 months) $ 49  
2019 57  
2020 52  
2021 40  
2022 65  
Total $ 263 $ 412