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Warranty, Guarantees, Commitments and Contingencies (Future Minimum Lease Payments) (Details) (USD $)
In Millions, unless otherwise specified
Oct. 26, 2014
Future minimum lease payments  
2015 $ 28us-gaap_OperatingLeasesFutureMinimumPaymentsDueCurrent
2016 18us-gaap_OperatingLeasesFutureMinimumPaymentsDueInTwoYears
2017 10us-gaap_OperatingLeasesFutureMinimumPaymentsDueInThreeYears
2018 6us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFourYears
2019 3us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFiveYears
Thereafter 5us-gaap_OperatingLeasesFutureMinimumPaymentsDueThereafter
Total $ 70us-gaap_OperatingLeasesFutureMinimumPaymentsDue