Goodwill, Purchased Technology and Other Intangible Assets (Schedule of Purchased Technology and Intangible Assets) (Details) - USD ($) $ in Millions	Jul. 31, 2016	Oct. 25, 2015
Summary of Purchased Technology and Intangible Assets [Line Items]
Carrying amount	$ 596	$ 737
Intangible assets - indefinite-lived	25	25
Total	621	762
Purchased technology [Member]
Summary of Purchased Technology and Intangible Assets [Line Items]
Carrying amount	450	575
Intangible assets [Member]
Summary of Purchased Technology and Intangible Assets [Line Items]
Carrying amount	146	162
Intangible assets - indefinite-lived	$ 25	$ 25