Goodwill, Purchased Technology and Other Intangible Assets (Amortization Expense) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jul. 30, 2017	Jul. 31, 2016	Jul. 30, 2017	Jul. 31, 2016
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 49	$ 47	$ 143	$ 142
Cost of products sold
Finite-Lived Intangible Assets [Line Items]
Amortization expense	44	42	128	126
Research, development, and engineering
Finite-Lived Intangible Assets [Line Items]
Amortization expense	0	0	1	1
Marketing and selling
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 5	$ 5	$ 14	$ 15