Goodwill, Purchased Technology and Other Intangible Assets (Amortization Expense) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jul. 26, 2015	Jul. 27, 2014	Jul. 26, 2015	Jul. 27, 2014
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 46	$ 45	$ 138	$ 136
Cost of products sold [Member]
Finite-Lived Intangible Assets [Line Items]
Amortization expense	40	38	120	117
Research and Development Expense [Member]
Finite-Lived Intangible Assets [Line Items]
Amortization expense	1	1	1	1
Marketing and selling [Member]
Finite-Lived Intangible Assets [Line Items]
Amortization expense	5	5	15	16
General and administrative [Member]
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 0	$ 1	$ 2	$ 2