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Goodwill, Purchased Technology and Other Intangible Assets (Schedule of Purchased Technology and Intangible Assets) (Details) - USD ($)
$ in Millions
Apr. 29, 2018
Oct. 29, 2017
Summary of Purchased Technology and Intangible Assets [Line Items]    
Finite lived assets $ 313 $ 412
Purchased technology, net    
Summary of Purchased Technology and Intangible Assets [Line Items]    
Finite lived assets 199 288
Intangible assets    
Summary of Purchased Technology and Intangible Assets [Line Items]    
Finite lived assets $ 114 $ 124