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Goodwill, Purchased Technology and Other Intangible Assets (Amortization Expense by Category) (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Oct. 26, 2014
Oct. 27, 2013
Oct. 28, 2012
Indefinite Lived Intangible Assets By Category [Abstract]      
Amortization expense $ 184us-gaap_AmortizationOfIntangibleAssets $ 199us-gaap_AmortizationOfIntangibleAssets $ 224us-gaap_AmortizationOfIntangibleAssets
Cost of products sold [Member]      
Indefinite Lived Intangible Assets By Category [Abstract]      
Amortization expense 159us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_CostOfSalesMember
166us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_CostOfSalesMember
185us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_CostOfSalesMember
Research, development and engineering [Member]      
Indefinite Lived Intangible Assets By Category [Abstract]      
Amortization expense 1us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_ResearchAndDevelopmentExpenseMember
1us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_ResearchAndDevelopmentExpenseMember
1us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_ResearchAndDevelopmentExpenseMember
Marketing and selling [Member]      
Indefinite Lived Intangible Assets By Category [Abstract]      
Amortization expense 21us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_SellingAndMarketingExpenseMember
26us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_SellingAndMarketingExpenseMember
30us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_SellingAndMarketingExpenseMember
General and administrative [Member]      
Indefinite Lived Intangible Assets By Category [Abstract]      
Amortization expense $ 3us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_GeneralAndAdministrativeExpenseMember
$ 6us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_GeneralAndAdministrativeExpenseMember
$ 8us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_GeneralAndAdministrativeExpenseMember