Goodwill, Purchased Technology and Other Intangible Assets (Amortization Expense by Category) (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 25, 2015	Oct. 26, 2014	Oct. 27, 2013
Indefinite Lived Intangible Assets By Category [Abstract]
Amortization expense	$ 186	$ 184	$ 199
Cost of products sold
Indefinite Lived Intangible Assets By Category [Abstract]
Amortization expense	163	159	166
Research, development and engineering
Indefinite Lived Intangible Assets By Category [Abstract]
Amortization expense	1	1	1
Marketing and selling
Indefinite Lived Intangible Assets By Category [Abstract]
Amortization expense	20	21	26
General and administrative
Indefinite Lived Intangible Assets By Category [Abstract]
Amortization expense	$ 2	$ 3	$ 6