Goodwill, Purchased Technology and Other Intangible Assets (Amortization Expense) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jul. 29, 2018	Jul. 30, 2017	Jul. 29, 2018	Jul. 30, 2017
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 50	$ 49	$ 149	$ 143
Cost of products sold
Finite-Lived Intangible Assets [Line Items]
Amortization expense	44	44	134	128
Research, development and engineering
Finite-Lived Intangible Assets [Line Items]
Amortization expense	1	0	1	1
Marketing and selling
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 5	$ 5	$ 14	$ 14