Goodwill, Purchased Technology and Other Intangible Assets (Amortization Expense) (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Apr. 30, 2017	May 01, 2016	Apr. 30, 2017	May 01, 2016
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 46	$ 47	$ 94	$ 95
Cost of products sold
Finite-Lived Intangible Assets [Line Items]
Amortization expense	42	42	84	84
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	$ 4	$ 5	$ 9	$ 10