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Goodwill, Purchased Technology and Other Intangible Assets (Amortization Expense) (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 6 Months Ended
Apr. 26, 2015
Apr. 27, 2014
Apr. 26, 2015
Apr. 27, 2014
Finite-Lived Intangible Assets [Line Items]        
Amortization expense $ 46us-gaap_AmortizationOfIntangibleAssets $ 45us-gaap_AmortizationOfIntangibleAssets $ 92us-gaap_AmortizationOfIntangibleAssets $ 91us-gaap_AmortizationOfIntangibleAssets
Cost of products sold [Member]        
Finite-Lived Intangible Assets [Line Items]        
Amortization expense 40us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_CostOfSalesMember
39us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_CostOfSalesMember
80us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_CostOfSalesMember
79us-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
6us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_SellingAndMarketingExpenseMember
10us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_SellingAndMarketingExpenseMember
11us-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
$ 0us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_GeneralAndAdministrativeExpenseMember
$ 2us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_GeneralAndAdministrativeExpenseMember
$ 1us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_GeneralAndAdministrativeExpenseMember