Goodwill, Purchased Technology and Other Intangible Assets (Amortization Expense) (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Apr. 29, 2018	Apr. 30, 2017	Apr. 29, 2018	Apr. 30, 2017
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 49	$ 46	$ 99	$ 94
Cost of products sold
Finite-Lived Intangible Assets [Line Items]
Amortization expense	45	42	90	84
Research, development and engineering
Finite-Lived Intangible Assets [Line Items]
Amortization expense	0	0	0	1
Marketing and selling
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 4	$ 4	$ 9	$ 9