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Goodwill, Purchased Technology and Other Intangible Assets (Estimated Amortization Expense) (Details) - USD ($)
$ in Millions
Jan. 27, 2019
Oct. 28, 2018
Future estimated amortization expense    
2019 (remaining 9 months) $ 43  
2020 52  
2021 39  
2022 24  
2023 11  
Thereafter 30  
Total $ 199 $ 213