Goodwill, Purchased Technology and Other Intangible Assets (Schedule of Purchased Technology and Intangible Assets) (Details) - USD ($) $ in Millions	Jul. 29, 2018	Oct. 29, 2017
Summary of Purchased Technology and Intangible Assets [Line Items]
Finite lived assets	$ 263	$ 412
Purchased technology, net
Summary of Purchased Technology and Intangible Assets [Line Items]
Finite lived assets	154	288
Intangible assets
Summary of Purchased Technology and Intangible Assets [Line Items]
Finite lived assets	$ 109	$ 124