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Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Share-based Compensation) (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Oct. 26, 2014
Oct. 27, 2013
Oct. 28, 2012
Total share-based compensation and related tax benefits      
Share-based compensation $ 177us-gaap_AllocatedShareBasedCompensationExpense $ 162us-gaap_AllocatedShareBasedCompensationExpense $ 182us-gaap_AllocatedShareBasedCompensationExpense
Tax benefit recognized $ 50us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense $ 45us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense $ 52us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense