Goodwill, Purchased Technology and Other Intangible Assets (Amortization Expense) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jul. 31, 2016	Jul. 26, 2015	Jul. 31, 2016	Jul. 26, 2015
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 47	$ 46	$ 142	$ 138
Cost of products sold [Member]
Finite-Lived Intangible Assets [Line Items]
Amortization expense	42	40	126	120
Research, development, and engineering [Member]
Finite-Lived Intangible Assets [Line Items]
Amortization expense	0	1	1	1
Marketing and selling [Member]
Finite-Lived Intangible Assets [Line Items]
Amortization expense	5	5	15	15
General and administrative [Member]
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 0	$ 0	$ 0	$ 2