Goodwill, Purchased Technology and Other Intangible Assets (Purchased Technology and Intangible Assets) (Details) - USD ($) $ in Millions	Oct. 30, 2016	Oct. 25, 2015
Summary of Purchased Technology and Intangible Assets [Line Items]
Carrying amount	$ 550	$ 737
Intangible assets - indefinite-lived	25	25
Total	575	762
Purchased Technology
Summary of Purchased Technology and Intangible Assets [Line Items]
Carrying amount	409	575
Intangible Assets
Summary of Purchased Technology and Intangible Assets [Line Items]
Carrying amount	141	162
Intangible assets - indefinite-lived	$ 25	$ 25