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Goodwill, Purchased Technology and Other Intangible Assets (Amortization Expense) (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Jan. 25, 2015
Jan. 26, 2014
Finite-Lived Intangible Assets [Line Items]    
Amortization expense $ 46us-gaap_AmortizationOfIntangibleAssets $ 46us-gaap_AmortizationOfIntangibleAssets
Cost of products sold [Member]    
Finite-Lived Intangible Assets [Line Items]    
Amortization expense 40us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_CostOfSalesMember
40us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_CostOfSalesMember
Marketing and selling [Member]    
Finite-Lived Intangible Assets [Line Items]    
Amortization expense 5us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_SellingAndMarketingExpenseMember
5us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_SellingAndMarketingExpenseMember
General and administrative [Member]    
Finite-Lived Intangible Assets [Line Items]    
Amortization expense $ 1us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_GeneralAndAdministrativeExpenseMember
$ 1us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_GeneralAndAdministrativeExpenseMember