Goodwill, Purchased Technology and Other Intangible Assets (Purchased Technology and Intangible Assets) (Details) - USD ($) $ in Millions	Oct. 29, 2017	Oct. 30, 2016
Summary of Purchased Technology and Intangible Assets [Line Items]
Carrying amount	$ 412	$ 550
Intangible assets - indefinite-lived	0	25
Total	412	575
Purchased technology, net
Summary of Purchased Technology and Intangible Assets [Line Items]
Carrying amount	288	409
Intangible Assets
Summary of Purchased Technology and Intangible Assets [Line Items]
Carrying amount	124	141
Intangible assets - indefinite-lived	$ 0	$ 25