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Goodwill, Purchased Technology and Other Intangible Assets (Purchased Technology and Intangible Assets) (Details) - USD ($)
$ in Millions
Oct. 25, 2015
Oct. 26, 2014
Summary of Purchased Technology and Intangible Assets [Line Items]    
Carrying amount $ 737 $ 824
Intangible assets - indefinite-lived 25 127
Total 762 951
Purchased Technology    
Summary of Purchased Technology and Intangible Assets [Line Items]    
Carrying amount 575 636
Intangible Assets    
Summary of Purchased Technology and Intangible Assets [Line Items]    
Carrying amount $ 162 $ 188