Goodwill, Purchased Technology and Other Intangible Assets (Schedule of Purchased Technology and Intangible Assets) (Details) - USD ($) $ in Millions	Jul. 26, 2015	Oct. 26, 2014
Summary of Purchased Technology and Intangible Assets [Line Items]
Carrying amount	$ 785	$ 824
Intangible assets - indefinite-lived	26	127
Total	811	951
Purchased technology [Member]
Summary of Purchased Technology and Intangible Assets [Line Items]
Carrying amount	618	636
Intangible assets [Member]
Summary of Purchased Technology and Intangible Assets [Line Items]
Carrying amount	$ 167	$ 188