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Goodwill, Purchased Technology and Other Intangible Assets (Schedule of Purchased Technology and Intangible Assets) (Details) (USD $)
In Millions, unless otherwise specified
Apr. 26, 2015
Oct. 26, 2014
Summary of Purchased Technology and Intangible Assets [Line Items]    
Carrying amount $ 731us-gaap_FiniteLivedIntangibleAssetsNet $ 824us-gaap_FiniteLivedIntangibleAssetsNet
Intangible assets - indefinite-lived 129us-gaap_IndefiniteLivedIntangibleAssetsExcludingGoodwill 127us-gaap_IndefiniteLivedIntangibleAssetsExcludingGoodwill
Total 860us-gaap_IntangibleAssetsNetExcludingGoodwill 951us-gaap_IntangibleAssetsNetExcludingGoodwill
Purchased technology [Member]    
Summary of Purchased Technology and Intangible Assets [Line Items]    
Carrying amount 557us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TechnologyBasedIntangibleAssetsMember
636us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TechnologyBasedIntangibleAssetsMember
Intangible assets [Member]    
Summary of Purchased Technology and Intangible Assets [Line Items]    
Carrying amount $ 174us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember
$ 188us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember