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Goodwill, Purchased Technology and Other Intangible Assets (Schedule of Purchased Technology and Intangible Assets) (Details) - USD ($)
$ in Millions
Apr. 30, 2017
Oct. 30, 2016
Summary of Purchased Technology and Intangible Assets [Line Items]    
Finite lived assets $ 472 $ 550
Intangible assets - indefinite-lived 18 25
Total 490 575
Purchased technology, net    
Summary of Purchased Technology and Intangible Assets [Line Items]    
Finite lived assets 339 409
Intangible assets    
Summary of Purchased Technology and Intangible Assets [Line Items]    
Finite lived assets 133 141
Intangible assets - indefinite-lived $ 18 $ 25